9th Slovenian International Conference on Graph Theory, Bled 2019 BLED, , JUNE 23 – JUNE 29, 2019

PLENARY SPEAKERS: INVITED SPECIAL SESSIONS: Noga Alon (Princeton University, USA and Tel Aviv University, Israel) ASSOCIATION SCHEMES (M. MUZYCHUK) Marco Buratti (University of Perugia, Italy) BIOMATHEMATICS AND BIOINFORMATICS (M. HELLMUTH) Gareth Jones (University of Southampton, UK) CHEMICAL GRAPH THEORY (X. LI) Daniel Král' (Warwick University, UK and Masaryk University, ) CONFIGURATIONS (G. GÉVAY) Daniela Kühn (University of Birmingham, UK) DESIGNS (D. CRNKOVIĆ) Gábor Korchmáros (University of Basilicata, Italy) DISCRETE AND COMPUTATIONAL GEOMETRY (S. CABELLO) Sergei Lando (National Research University Higher School of Economics, ) DISTANCE-REGULAR GRAPHS (Š. MIKLAVIČ) János Pach (EPFL, Lausanne and Rényi Institute, ) DOMINATION IN GRAPHS (M. HENNING) Cheryl E. Praeger (University of Western Australia, Australia) FINITE GEOMETRIES (T. SZÖNYI) Zsolt Tuza (Rényi Institute and University of Pannonia, Hungary) GAMES ON GRAPHS (CS. BUJTÁS) Xuding Zhu (Zhejiang Normal University, ) GRAPH COLORING (I. SCHIERMEYER) METRIC GRAPH THEORY (I. G. YERO) Scientific Committee: Sandi Klavžar, Dragan Marušič, Bojan Mohar (chair), Tomaž Pisanski POLYTOPES (A. IVIĆ WEISS) Organizing Committee: B. Brešar, S. Cabello, A. Hujdurović, R. Požar SPECTRAL GRAPH THEORY (F. BELLARDO) Organized by IMFM - Institute of Mathematics, Physics and Mechanics STRUCTURAL AND ALGORITHMIC GRAPH THEORY (P. ABOULKER) in collaboration with Abelium d.o.o., DMFA, SDAMS, UL FMF, UM FNM, UP FAMNIT, UP IAM. SYMMETRIES OF GRAPHS AND MAPS (M. CONDER)

Rikli balance hotel Arnold Hall (all plenary talks of the day) 08:50 Opening remarks MONDAY, June 24 09:00 DANIEL KRÁL': Profiles of graphs and tournaments 9th Slovenian International Conference on Graph Theory, Bled 2019 09:55 SERGEI LANDO: Integrability property of polynomial graph invariants 10:45 Coffee (Hotel Kompas) Rikli balance hotel Hotel Kompas Hotel Kompas Hotel Lovec Hotel Lovec Hotel Kompas Hotel Kompas

Arnold Hall Jezerska Hall Triglavska+Grajska Hall Panorama I Panorama II Blejska Hall Riklijeva Hall SYMMETRIES OF G&M SPECTRAL GT DIST.-REG. GRAPHS GENERAL GT STRUCT. & ALGOR. GT GENERAL GT DESIGNS

L. MORGAN: The distingui- M. ANDELIC: Tridiagonal R. F. BAILEY: On distance- G. RÁCZ: Generalized Lah M. KRNC: On the End-Vertex F. HOERSCH: Highly vertex- A. POTT: Homogeneous 11:15 shing number of 2-AT graphs matrices and spectral regular graphs on 486 numbers and their graph connected orientations of and permutation groups properties… vertices theoretical interpretation Problem of Graph Searches regular eulerian graphs cubic bent functions M. PILŚNIAK: Distinguishing A. ABIAD: A characterization A. NEUMAIER: t-point counts G. NYUL: Various generali- N. L. D. SINTIARI: Layered Y. SUZUKI: Partially Broken J. R. SCHMITT: Distinct 11:35 and an application of weight- Orientations of Eulerian colorings of maps regular partitions of graphs in distance-regular graphs zations of Bell numbers wheels Plane Graphs partial sums in cyclic groups R. KALINOWSKI: Symmetry B. MIHAILOVIČ: Some H. SUZUKI: The universal C- G. BACSÓ: The Equal-Sum- M. HECHT: Top. Invariants of I. FABRICI: Circumference of O. OLMEZ: Partial Geometric 11:55 breaking in claw-free graphs examples of transformations cover of a completely regular Free Subset problem Elem. Cycles and a essentially 4-connected Designs and Their Links of small max degree that preserve sgn(λ2-r) clique graph Generalization of Biggs Thm planar graphs 12:15 Lunch (on your own) There should be no such thing 14:30 XUDING ZHU: List colouring and Alon-Tarsi number of planar graphs as boring mathematics 15:20 Coffee (Hotel Kompas) ------Edsger Dijkstra SYMMETRIES OF G&M SPECTRAL GT GENERAL GT GAMES ON GRAPHS STRUCT. & ALGOR. GT GENERAL GT DESIGNS

P. POTOČNIK: Generalised A. GAVRILYUK: On the M. DĘBSKI: Edge colorings J. GRYTCZUK: Choosability M. MILANIČ: Avoidable S. CICHACZ: Group distance D. CRNKOVIĆ: Self- 15:50 multiplicities of digraph Vertices, Edges, and Highly orthogonal codes from block voltage graphs eigenvalues avoiding patterns Games Symmetric Graphs magic hypercubes designs and ass. schemes N. POZNANOVIC: Normal C. DALFO: Spectrum and H. FURMAŃCZYK: Equitable É. SOPENA: A connected J. BEISEGEL: Maximum B. K. SAHOO: Vertex R. EGAN: Complementary 16:10 quotients of four-valent G- local spectra of a graph from list vertex colourability and version of the graph Weighted Clique in Hole- connectivity of the power sequences and oriented graphs its regular partitions arboricity of grids coloring game Cyclically Orientable Graphs graph of a finite cyclic group combinatorial structures A. MALNIČ: Covers of T. TANIGUCHI: A generali- M. MACEKOVÁ: Acyclic D. ŠTESL: Indicated coloring E. KIM: Erdős–Pósa Property M. GRECH: Wreath product S. COSTA: Relative Heffter 16:30 coloring of graphs with game on Cartesian products of Chordless Cycles and its of perm. groups as the digraphs zation of Hoffman Graph prescribed max avg degree of graphs Applications autom. group of a graph arrays and biembeddings 16:50 Short break SYMMETRIES OF G&M SPECTRAL GT GENERAL GT GAMES ON GRAPHS STRUCT. & ALGOR. GT GENERAL GT DESIGNS

D. CATALANO: Strong map- P. WISSING: The negative A. VESEL: Packing colorings S. DANTAS: The Graceful M. PIZAÑA: Algorithmic S. PAGANI: Discrete tomo- A. WASSERMANN: On q- 17:00 symmetry of SL(3,K) and tetrahedron and … graphs of Sierpiński-type and H Aspects of the Finite graphy: … local uniqueness analogs of group divisible PSL(3,K) for any finite field K determined by H. spectrum graphs Game Extension Problem for two directions designs D. PINTO: Duality and Chiral- A. FARRUGIA: Generating K. ANDO: Some new local D. B. WEST: The Slow- S. ONN: Deciding and B. ŻAK: Determination of the A. PASOTTI: Odd sun 17:20 Pairs of Generalized conditions for k-contractible Optimizing over Degree optimal ship trajectory in a systems of the complete Duality Cospectral Graphs… edges Coloring Game on a Graph Sequences collision situation… graph H. P. LUK: Tilings of the D. LABBATE: Non bipartite G. PULEO: Online Sum- S. HORVÁT: Exact random J. GARUS: Underwater S. BAN: New extremal Type 17:40 Sphere by Almost Equilateral regular 2-factor isomorphic Paintability: Slow-Coloring of sampling of conn. graphs vehicle trajectory planning II Z4-codes of length 32 from Pentagons graphs: an update Trees with a given deg. sequence using the graph theory… Hadamard designs 18:00 End of sessions Reception at the Bled Castle (walk or take a bus departing from Hotel Kompas at 18:10)

Rikli balance hotel Arnold Hall (all plenary talks of the day) 09:00 NOGA ALON: Random and quasi-random Cayley sum graphs with applications TUESDAY, June 25 9th Slovenian International Conference 09:55 GARETH A. JONES: Paley, Carlitz and the Paley Graphs on Graph Theory, Bled 2019

10:45 Coffee (Hotel Kompas) Rikli balance hotel Hotel Kompas Hotel Kompas Hotel Lovec Hotel Lovec Hotel Kompas Hotel Kompas

Arnold Hall Jezerska Hall Triglavska+Grajska Hall Panorama I Panorama II Blejska Hall Riklijeva Hall POLYTOPES GRAPH COLORING DIST.-REG. GRAPHS GAMES ON GRAPHS GENERAL GT GENERAL GT FINITE GEOMETRIES

M. ROSENFELD: Branko I. SCHIERMEYER: Polynomial B. FERNÁNDEZ: On the CS. BUJTÁS: Domination and J. GOEDGEBEUR: Graphs M. HECHT: Tight L. DENAUX: Small weight 11:15 Grünbaum, the mathema- chi-binding functions and Terwilliger Algebra of Locally transversal games: Localisations of Minimial code words from incidence tician who beat the odds forbidden ind. subgraphs Pseudo-DRG Conjectures and perfectness with few Hamiltonian Cycles Feedback Sets in Cubic Time of points and hyperplanes… A. I. WEISS: Realizations of D. RALL: Packing chromatic S. PENJIĆ: A comb. approach V. IRŠIČ: Some results on the J. ZERAFA: Hamiltonian G. Y. KATONA: Complexity S. ADRIAENSEN: … Small 11:35 regular abstract polytopes in to the Terwilliger algebra cycles containing a questions for minimally t- Weight Code Words of euclidean spaces vertex-critical graphs modules of a bipartite DRG connected domination game prescribed perfect matching tough graphs Projective Geometric Codes D. LEEMANS: Rank reduction J. FERME: Graphs that are Š. MIKLAVIČ: Irreducible T- T. JAMES: Domination game D. MATTIOLO: Upper and G. KUBICKI: An optimal F. IHRINGER: New SDP 11:55 of string C-group critical for the packing modules with endpoint 1 of lower bounds on the circular algorithm for stopping on representations chromatic number almost 1-homogeneous DRG on split graphs flow number of snarks the element closest to … Bounds on Subspace Codes 12:15 Lunch (on your own)

14:30 DANIELA KÜHN: Resolution of the Oberwolfach problem Beauty can be perceived but not explained. ------Arthur Cayley 15:20 Coffee (Hotel Kompas) POLYTOPES GRAPH COLORING SPECTRAL GT DOMINATION IN GRAPHS DISC. COMP. GEOMETRY STRUCT. & ALGOR. GT DESIGNS

I. HUBARD: Geometric chiral M. ANHOLCER: Majority Z. STANIČ: Notes on spectra S. KLAVŽAR: The Maker- D. PÁLVÖLGYI: T. HUYNH: Unavoidable V. KABANOV: Deza graphs 15:50 polyhedra in 3-dimensional coloring of infinite digraphs of signed graphs Breaker domination game Polychromatic coloring of minors for graphs with large with parameters (v,k,k-2,a) spaces geometric hypergraphs lp-dimension J. BRACHO: A family of finite B. LUŽAR: Homogeneous M. BRUNETTI: On Some T. GOLOGRANC: On graphs M. SAUMELL: Hamiltonicity N. PIVAČ: Minimal separa- F. MEROLA: Cycle systems of 16:10 Spectral Properties of Signed with equal tot. dom. and for convex shape Delaunay tors in graph classes dened the complete multipartite quiral polyhedra in S^3 Coloring of Graphs Circular Caterpillars Grundy tot. dom. number and Gabriel graphs by small forb. ind. subgraphs graph M. CONDER: Chiral R. ŠKREKOVSKI: Some results AMBAT V.: The Distance T. KOS: On the Grundy G. LIOTTA: Bend-minimum A. NEWMAN: Explicit 3- A. ŠVOB: Self-orthog. codes 16:30 polytopes of arbitrarily large on unique-maximum Spectra of Some Graph colorings for exponential from orbit matrices of Seidel rank colorings of plane graphs Classes - A Survey dominating sequences Orthogonal Drawings graphs and Laplacian mat. of SRG 16:50 Short break SYMMETRIES OF G&M GRAPH COLORING SPECTRAL GT DOMINATION IN GRAPHS DISC. COMP. GEOMETRY STRUCT. & ALGOR. GT DESIGNS

M. ŠIMAC: LDPC codes X. LI: Monochromatic B. MOHAR: About the B. BREŠAR: Graphs with a D. BOKAL: Bounded degree P. ABOULKER: Subgraphs of M. O. PAVČEVIČ: … new t- 17:00 constructed from cubic smallest eigenvalue of non- unique maximum open conjecture … for c-crossing- directed graphs with large designs acted upon nonab. symmetric graphs disconnection of graphs bipartite graphs packing critical graphs with c≤12 dichromatic number automorphism groups I. KOVÁCS: Groups all of E. KUBICKA: Total coloring S. PAVLÍKOVÁ: Inverting non- M. JAKOVAC: Relating the A. VEGI KALAMAR: Counting M. KRÉSZ: Uniquely T. VUČIČIČ: Groups SnxSm in 17:20 whose Haar graphs are with min. sum of colors; annihilation number and two Hamiltonian cycles in 2-tiled construction of flag- Cayley graphs existence of T-strong... invertible labeled trees domination invariants graphs restricted (g,f)-factors transitive block designs P. ŠPARL: On loosely J. PRZYBYŁO: The 1-2-3 K. L. PATRA: Laplacian L. HERNANDEZ LUCAS: Y. KEMPNER: Spanoids, W. LOCHET: Immersion of T. TRAETTA: Pyramidal 17:40 attached tetravalent half- Conjecture almost holds for eigenvalues of the zero Dominating sets in finite Greedoids and Violator transitive tournaments Steiner and Kirkman triple arc-transitive graphs regular graphs divisor graph of the ring Zn generalized quadrangles Spaces systems 18:00 End of sessions

Hotel Kompas Jezerska Hall WEDNESDAY, June 26 09:00 MARCO BURATTI: Cyclic designs: some selected topics 9th Slovenian International Conference on Graph Theory, Bled 2019

Hotel Kompas Hotel Kompas Hotel Lovec Hotel Lovec Hotel Kompas Hotel Kompas

Jezerska Hall Triglavska+Grajska Hall Panorama I Panorama II Blejska Hall Riklijeva Hall SYMMETRIES OF G&M DIST.-REG. GRAPHS METRIC GT DISC. COMP. GEOMETRY GAMES ON GRAPHS GENERAL GT

M. BACHRATY: Skew morphisms P. TERWILLIGER: Leonard pairs, I. G. YERO: Uniquely identifying H. R. TIWARY: Lower bounds for A. PONGRÁCZ: Non-deterministic J. COOPER: Finitely forcible graph 09:55 spin models, and distance-regular the vertices of a graph by means semantic read-once BDDs using of simple groups graphs of distance multisets Extension Complexity decision making on finite graphs limits are universal Y. S. KWON: Square roots of S. BOCKTING-CONRAD: Tridia- V. JUNNILA: On the Solid-Metric P. HLINĚNÝ: On Colourability of D. PINTO: Replicator equations C. LINDORFER: Ends of graphs 10:15 automorphisms of cyclic groups gonal pairs of Racah type and the Dimension of a Graph Polygon Visibility Graphs on graphs and the language of self-avoiding univ. env. alg. U(SL2) walks 10:35 Coffee (Hotel Kompas) POLYTOPES ASSOCIATION SCHEMES DOMINATION IN GRAPHS DISC. COMP. GEOMETRY CONFIGURATIONS GENERAL GT

M. E. FERNANDES: Locally A. VASIL'EV: Closures of perm. I. PETERIN: [1, k]-domination É. COLIN DE VERDIÈRE: Multicuts M. IZQUIERDO: Configurations B. PATKÓS: On the general 11:00 groups and the isom. problem for number of lexicographic product in planar and surface-embedded position problem on Kneser spherical hypertopes schurian coherent config. of graphs graphs and Dessins d'Enfants graphs C. A. PIEDADE: Possible degrees P.-H. ZIESCHANG: Residually Thin T. KRANER ŠUMENJAK: On k- C. GAVOILLE: Shorter Implicit V. NAPOLITANO: Configurations S. MAJSTOROVIČ: Graphs 11:20 rainbow independent domination and some classes of finite linear preserving total distance upon of Toroidal Regular Maps Hypergroups in graphs Representation for Planar Graphs spaces vertex removal G. WILLIAMS: Geometric A. TEPEH: On k-rainbow total S. CABELLO: Maximum Matchings A. ŽITNIK: Chiral astral M. PIZAÑA: Cliques, Logic and 11:40 realizability of simplicial C. FRENCH: Hypergroup rings realizations of cyclic 3- 3-spheres domination in graphs in Geometric Intersection Graphs configurations Games 12:00 Lunch (on your own) Excursions / Free time 13:30 Book your excursion at the registration desk. Price of the excursion is NOT INCLUDED in your registration fee.

Postojna Cave and Predjama Castle. Postojna Cave is the Vintgar Gorge or Bled Gorge is a greatest tourist attraction in Slovenia. A fantastic web of spectacular 1.6-kilometer gorge a few tunnels and galleries, the astonishing diversity of Karst kilometers from Bled. The gorge is features as well as easy access are the main reasons for carved by the Radovna River. A safe its popularity. Nearby, the picturesque and impregnable walking path upon wooden bridges on Predjama Castle has been perched in the middle of a 123- its shores takes the visitors along the meter-high rocky cliff for over 800 years. The attractions beautiful alpine stream and its are 100 kilometers away from Bled, or about 1,5 hrs drive waterfalls. by bus. Price: 35 EUR per person (includes Price: 65 EUR per person (includes entrance fees, entrance fees, organized transport and organized transport and guided tours). guided tours) Bus departure: 13:30 SHARP from Hotel Kompas (be Bus departure: 13:30 SHARP from there earlier). Expected return to Bled: 20:00. Hotel Kompas (be there earlier).

Rikli balance hotel Arnold Hall (all plenary talks of the day) 09:00 JÁNOS PACH: Many Pairwise Crossing Edges THURSDAY, June 27 9th Slovenian International Conference 09:55 CHERYL E. PRAEGER: Limited geodesic transitivity for finite regular graphs on Graph Theory, Bled 2019 10:45 Coffee (Hotel Kompas) Rikli balance hotel Hotel Kompas Hotel Kompas Hotel Lovec Hotel Lovec Hotel Kompas Hotel Kompas

Arnold Hall Jezerska Hall Triglavska+Grajska Hall Panorama I Panorama II Blejska Hall Riklijeva Hall SYMMETRIES OF G&M GRAPH COLORING SPECTRAL GT METRIC GT FINITE GEOMETRIES CONFIGURATIONS CHEMICAL GT

A. BREDA D'AZEVEDO: J. BARÁT: Decomposition of W. IMRICH: The Structure of T. LAIHONEN: On Resolving S. BALL: Maximum Distance G. GÉVAY: Exotic H. ZHANG: Anti-Kekulé 11:15 Regular bi-oriented maps of cubic graphs related to Quartic Graphs with Minimal Separable Codes: Recent negative prime characteristic Wegner's conjecture Spectral Gap Several Vertices in a Graph advances and applications configurations number of graphs T. DOBSON: Every 2-closed M. ŚLESZYŃSKA-NOWAK: P. RAMA: Spectral and comb. M. MORA: k-Fault-tolerant M. LAVRAUW: MDS codes, M. RANEY: Trilateral S. BREZOVNIK: Resonance 11:35 group of degree qp2 has a properties of lexicographic graphs of catacondensed semiregular element Strong cliques in graphs polynomials of graphs resolving sets in graphs arcs and tensors matroids even ring systems (CERS) M. TOLEDO: Cubic graphs E. DRGAS-BURCHARDT: S.J. PINHEIRO: Erdős-Gallai E. YI: The fractional k-metric G. MARINO: Subspace code J. KOVIČ: Platonic Z. CHE: Resonance graphs of 11:55 Consecutive colouring of type results on weighted plane elementary bipartite with long orbits oriented graphs degree sequences of graphs dimension of graphs constructions configurations graphs 12:15 Lunch (on your own) 14:30 GÁBOR KORCHMÁROS: Permutation groups in the study of geometric structures The purpose of life is to conjecture and prove ------Paul Erdös 15:20 Coffee (Hotel Kompas) POLYTOPES GENERAL GT ASSOCIATION SCHEMES METRIC GT FINITE GEOMETRIES BIOMATH & BIOINF CHEMICAL GT L. MONTEJANO: On the D. OSTHUS: Decompositions A. MUNEMASA: Krein B. DASGUPTA: Comp. J. D'HAESELEER: Projective R. JANSSEN: Navigating the P. DANKELMANN: On the 15:50 Geometric Banach into isomorphic rainbow parameters of fiber-comm. complexities of … computing solids pairwise intersecting space of phylogenetic Wiener Index of Eulerian Conjecture spanning trees coherent configurations the metric anti-dimension… in at least a line networks Graphs T. MARC: Oriented matroids M. ELLINGHAM: The J. VIDALI: On tight 4-designs Y. RAMÍREZ-CRUZ: Constr. M. DE BOECK: Cameron- G. SCHOLZ: Un-folding and T. DOŠLIČ: Packing stars in 16:10 as graphs structure of 4-connected in Hamming association incr. resolvability in dynamic Liebler classes for finite folding-up phylogenetic fullerenes K2,t-minor-free graphs schemes graphs: a case study… geometries networks E. MOCHAN: 2- orbit G. FIJAVŽ: Forbidding prism S. SUDA: Linked systems of A. KELENC: Hausdorff S. GLASBY: Classical groups D. DOERR: On the Comput. X. LI: The asymptotic value 16:30 Distance Between Trees in and transitive actions on Hardness of Ancestral of energy for random graphs polytopes immersions group divisible designs Polynomial Time subspaces Genome Reconstructions with degree-based weights 16:50 Short break POLYTOPES GENERAL GT ASSOCIATION SCHEMES METRIC GT FINITE GEOMETRIES BIOMATH & BIOINF CHEMICAL GT

D. PELLICER: Tight chiral F. LEHNER: On the cop- S. HUMPHRIES: Schur rings C. X. KANG: The connected Z. BLÁZSIK: Balanced upper M. LAFOND: Will we ever X. JIN: On the existence of 17:00 metric dimension at a vertex chromatic number of find a forb. subgraph charac- some strong traces of abstract polytopes number of toroidal graphs over infinite groups of a graph PG(2,q) terization of leaf powers? graphs A. MONTERO: Highly A. NAKAMOTO: Vertex-face G. SOMLAI: New family of CI- M. L. PUERTAS: Bounding V. PEPE: A construction for N. NØJGAARD: Partial Homo- M. KNOR: Bounding the 17:20 symmetric toroidal structures in quadran- the determining number of a clique-free pseudorandom logy Relations – Satisfiability polytopes gulations on surfaces groups graph by removing twins graphs in terms of Di-Cographs Graovac-Pisanski index S. WILSON: Rotary 4- G. MAZZUOCCOLO: Reduc- G. RYABOV: Infinite family of A. TARANENKO: On graphs S. MATTHEUS: Bipartite M. HELLMUTH: Best Match M. SAHIN: Core partitions 17:40 tion of Berge-Fulkerson Conj. non-schurian separable achieving the trivial upper Ramsey numbers: C4 versus Maniplexes having one facet to cycl. 5-edge-conn. snarks association schemes bound for edge metric dim. the star Graphs with d-distinct parts 18:00 End of sessions Conference dinner, Avsenik

(departure of buses at 18:30, Hotel Kompas)

Hotel Kompas Jezerska Hall FRIDAY, June 28 09:00 ZSOLT TUZA: Parity colorings in graphs and hypergraphs 9th Slovenian International Conference on Graph Theory, Bled 2019

Hotel Kompas Hotel Kompas Hotel Lovec Hotel Lovec Hotel Kompas Hotel Kompas

Jezerska Hall Triglavska+Grajska Hall Panorama I Panorama II Blejska Hall Riklijeva Hall SYMMETRIES OF G&M SPECTRAL GT METRIC GT CONFIGURATIONS BIOMATH & BIOINF CHEMICAL GT

R. NEDELA: Reductions of maps J. WANG: On graphs whose D. KUZIAK: Metric and strong T. PISANSKI: The remarkable L. HERBST: Trees on scales -- B. FURTULA: Novel method for 09:55 preserving the isomorphism spectral radius does not exceed metric dimensions of direct measures of balance for rooted measuring sensitivity of topol. relation I the Hoffman limit value product graphs rhombic dodecahedron graph binary trees descriptors on structural changes P. ZEMAN: Reductions of maps F. BELARDO: On some recent R. SIMANJUNTAK: Centroidal K. STOKES: Dualities, trialities, C.R. SEEMANN: The Matroid J. WANG: Median eigenvalues and 10:15 preserving the isomorphism results of Slobodan K. Simič Structure of Repr. Triple Sets and relation II (1948-2019) dimensions of product graphs configurations and graphs Triple-Closure Computation HOMO-LUMO index of graphs 10:35 Coffee (Hotel Kompas) SYMMETRIES OF G&M ASSOCIATION SCHEMES DOMINATION IN GRAPHS CONFIGURATIONS BIOMATH & BIOINF CHEMICAL GT

M. CONDER: Observations and H. BLAU: Nilpotent commutative P. DORBEC: Reconfiguring and L. BERMAN: Eventually, 5- K. WICKE: Phylogenetics meets H. CHEN: The average Laplacian 11:00 answers to questions about edge- standard integral table algebras classic GT … Hamiltonicity, GSP transitive maps of order p3 enumerating dominating sets. configurations exist for all n graphs and treebased networks polynomial of a graph G. A. JONES: Realisation of groups A. HERMAN: Rationality for M. A. HENNING: The independent J. BOKOWSKI: … Symm. Polyh. A. FUJITA: Network Statistics on J. SEDLAR: On combining Zagreb 11:20 as automorphism groups of maps irreducible representations of ass. domatic number and the total Realizations without Self-Intersec. biological data analyses and Forgotten index to obtain and hypermaps schemes of rank 6 and 7 domatic number of Hurwitz's RM(3,7)18 of Genus 7 better predictive power R. G. MÖLLER: Infinite vertex- I. PONOMARENKO: A A. LAKSHMANAN S.: Double M. SANIGA: Doily - A Gem of the S. ANTUNOVIČ: Exponential N. TRATNIK: Computing Distance- 11:40 transitive graphs and their arc- characterization of some Based Topological Indices from types equivalenced ass. schemes Roman Domination Number Quantum Universe generalised network descriptors Quotient Graphs B. FAIRBAIRN: Some non- M. MUZYCHUK: Non- B. MARTÍNEZ-BARONA: H. GROPP: On the early history of M.C. MOLINARI: Colored even P. ŽIGERT PLETERŠEK: Two 12:00 Beauville groups: Why you should commutative schemes of rank six topological indices applied on always pay attention… and related objects Identifying codes in line digraphs configurations cycle decompositions hydrocarbons 12:20 Lunch (on your own) SYMMETRIES OF G&M GENERAL GT GENERAL GT GENERAL GT GENERAL GT FINITE GEOMETRIES

M. GIUDICI: Arc-transitive D. YE: Circuit Covers of Signed S. BONVICINI: A variant of A. TYC: Z-knotted triangulations of V. PALLOZZI LAVORANTE: AG 14:30 orthogonality for symmetric Latin codes from the second genera- B. CSAJBÓK: Generalising KM-arcs bicirculants Graphs squares surfaces lization of the GK maximal curve C. KING: Edge-primitive 3-arc- M. VIZER: On the Turán number M. ABREU: Orthogonal Array M. PANKOV: Face z-monodromies D. HAWTIN: s-Elusive Codes in G. KISS: On resolving sets for the 14:50 point-line incidence graph of transitive graphs of edge ordered graphs Configurations in triangulations of surfaces Hamming Graphs PG(n,q) A. MELEKOĞLU: Patterns of edge- C. XIAO: The Turán number of the F. I. BECERRA LÓPEZ: Integer M. KWIATKOWSKI: Tree S. VELDSMAN: Congruences and T. SZŐNYI: On the stability of Baer 15:10 invar. of a graph manifold using structured z-knotted subdirect representations of transitive maps square of a path Hirzenbruch-Jung cont. fractions… triangulations of a sphere graphs subplanes 15:30 Coffee (Hotel Kompas) SYMMETRIES OF G&M session continues in Hotel Kompas Jezerska Hall 16:00 16:20 16:40 INT. ACADEMY OF MATH. 16:00 M. MAČAJ: On external T. TUCKER: Surface Symmetry: R. JAJCAY: Generalized Cayley Mathematics is the music of reason symmetries of Wilson maps Kulkarni Revisited maps - - - - James J. Sylvester CHEMISTRY 2019 17:00 End of sessions Welcome back for the 2023 10th Slovenian International Conference on Graph Theory, Bled 2023