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Bounds and Algorithms for Limited Packings in Graphs Index of talks Invited talks ......................... 11 Bojan Mohar, Rooted K2;4-minors and wye-delta reducibility 11 J´anosPach, The importance of being simple . 11 Paul Seymour,........................ 12 R. Ravi, Improved Approximations for Graph-TSP in Reg- ular Graphs . 12 Bruce Reed, The Structure and χ-Boundedness of Typical Graphs in a Hereditary Family . 13 D´anielMarx, Every graph is easy or hard: dichotomy theorems for graph problems . 13 Bertrand Guenin, Flows in matroids . 14 Noga Alon, Easily testable graph properties . 14 Jeff Erickson, Computational Topology of Cuts and Flows 14 Contributed talks ..................... 16 Aparna Lakshmanan S., Induced cycles in triangle graphs 16 Claudson F. Bornstein, On the Overlap Number of Chordal and Interval Graphs . 16 Felix Joos, A Characterization of Mixed Unit Interval Graphs 17 Jos´eD. Alvarado, Perfectly relating the Domination, Total Domination, and Paired Domination Numbers of a Graph . 17 Ignacio M. Pelayo, Quasiperfect Dominating Codes in Graphs . 17 Kieka Mynhardt, Domination, Eternal Domination, and Clique Covering . 18 Saswata Shannigrahi, A Lower Bound on the Crossing Number of Uniform Hypergraphs . 19 Pauline Sarrabezolles, The colourful simplicial depth con- jecture . 19 1 2 Natalia Garc´ıa-Col´ın, On the separation of Tverberg par- titions of large sets of points . 20 Tam´asKir´aly, Covering Intersecting Bi-set Families Under Matroid Constraints . 20 Yulia Kempner, Zigzags on Greedoids . 21 Csongor Gy. Csehi, Matroid union, Graphic? Binary? Neither? . 21 Bi Li, Minimum Size Tree-Decompositions . 21 Tina Janne Schmidt, On the Minimum Bisection of Graphs with Low Tree Width . 22 Irene Muzi, Subdivisions in 4-connected graphs of large tree-width . 22 Vin´ıciusF. dos Santos, The rank of a graph convexity: complexity aspects . 23 Fernanda Couto, Chordal-(2; 1) graph sandwich problem with boundary conditions . 23 Carl Georg Heise, Nonempty Intersection of Longest Paths in Partial 2-Trees . 24 Jan van Vuuren, Edge criticality in secure graph domination 25 Johannes H. Hattingh, Equality in a Bound that Relates the Size and the Restrained Domination Number of a Graph . 25 Felix Goldberg, Domination in designs . 26 Yotsanan Meemark, Symplectic graphs over finite com- mutative rings . 26 Gloria Rinaldi, On Hamiltonian cycle systems with non trivial automorphism group . 27 Eugenia O'Reilly-Regueiro, Construction of chiral 4- polytopes with alternating or symmetric automorphism group . 27 Arne C. Reimers, Matroid Theory for Metabolic Network Analysis . 28 Boris Albar, Detecting minors in matroids through triangles 28 Hadi Afzali, Cofinitary transversal matroids . 28 3 Chun-Hung Liu, Well-quasi-ordering graphs by the topo- logical minor relation . 29 R´emy Belmonte, Structure of W4-immersion free graphs 29 Jan Obdrˇz´alek, Tree-depth and Vertex-minors . 30 Guillaume Gu´egan, Parity Tournaments of Planar Point Sets . 30 Yandong Bai, Complementary cycles in regular bipartite tournaments . 30 Elad Cohen, On the clique structure of edge intersection graphs of subtrees of a tree . 31 Markus Dod, Graph products of the trivariate total dom- ination polynomial . 31 Romain Letourneur, On the Number of Minimal Domi- nating Sets on Cobipartite and Interval Graphs . 32 Alain Hertz, Dominating induced matching in subcubic S2;2;2-free graphs . 32 Thomas Sasse, Induced Matchings in Subcubic Graphs . 33 Andrei Gagarin, Bounds and algorithms for limited pack- ings in graphs . 33 Silvia Messuti, Packing grids into complete graphs . 33 Eric´ Duch^ene, Labeled embedding of (n; n − 2) graphs in their complements . 34 P´eterP´alPach, Generalized multiplicative Sidon-sequences 34 Shalom Eliahou, A problem in graph theory related to Poonen's conjecture . 35 Micha l Debski, Near universal cycles and ordered parti- tions of numbers . 35 Petru Valicov, Strong edge-colouring of sparse planar graphs 36 Tom´aˇsKaiser, The distance-t chromatic index of graphs . 36 Nicolas Gastineau, S-Packing Colorings of Cubic Graphs 37 Elizabeth Jonck, Uniquely packable trees . 37 Annegret Wagler, Identifying codes for families of split graphs . 37 Victor Campos, On Connected Identifying Codes for Infi- nite Lattices . 38 4 Elise´ Vandomme, Identifying codes in vertex-transitive graphs . 38 Olivier Hudry, Variations of identifying codes in graphs obtained by adding or removing one vertex . 39 Eckhard Steffen, 1-factor and cycle covers of cubic graphs 39 Andrea Jim´enez, Directed cycle double cover conjecture: fork graphs . 40 Edita M´aˇcajov´a, Decomposing integer flows in signed graphs into characteristic flows . 40 Edita Rollov´a, Nowhere-zero flows on signed series-parallel graphs . 41 Viresh Patel, A domination algorithm for f0; 1g-instances of the travelling salesman problem . 41 5 Sylvia Boyd,A 4 -approximation for subcubic 2EC using circulations . 41 Mikl´osMoln´ar, A New Formulation of Degree-Constrained Spanning Problems . 42 Corinna Gottschalk, Properties of Graph ATSP . 43 Halina Bielak, Multicolor Ramsey Numbers for long cycles versus some sequences of disjoint paths . 43 Carlos Hoppen, Edge-colorings avoiding a fixed matching with a prescribed color pattern . 43 Binlong Li, Path-kipas Ramsey numbers . 44 Guus Regts, A precise threshold for quasi-Ramsey numbers 44 Hong-Bin Chen, On-Line Choice Number of Complete Multipartite Graphs . 45 Rogers Mathew, Partial list colouring of certain graphs . 45 Daniel F. D. Posner, On total L(2; 1)-coloring regular grids and diameter two graphs . 46 Diana Sasaki, On equitable total coloring of cubic graphs 46 Nico Van Cleemput, On the strongest form of a theorem of Whitney for hamiltonian cycles in plane triangulations 47 Let´ıciaR. Bueno, Hamiltonian Cycles in k-Connected k- Regular Graphs . 47 5 Hao Li, Hamiltonian cycles in spanning subgraphs of line graphs . 48 Ilan A. Goldfeder, Hamiltonian cycles in generalizations of bipartite tournaments . 48 Selim Rexhep, Poset Entropy versus Number of Linear Extensions: the Width-2 Case . 49 C´edricChauve, An Enumeration of Distance-Hereditary and 3-Leaf Power Graphs . 49 Loiret Alejandr´ıaDosal-Trujillo, The Fibonacci num- bers of certain subgraphs of Circulant graphs . 50 Arun P. Mani, The number of labeled connected graphs modulo odd integers . 50 Andrei Nikolaev, On vertices of the Boolean quadric poly- tope relaxations . 51 Tam´asKir´aly, An extension of Lehman's theorem and ideal set functions . 51 Roland Grappe, The Trader Multiflow problem: When the cut cone is box-TDI . 51 Keno Merckx, Vertex Shelling Polytopes of Split Graphs 52 Boris Bukh, A bound on the number of edges in graphs without an even cycle . 52 Zelealem B. Yilma, Supersaturation Problem for Color- Critical Graphs . 52 Zsolt Tuza, Decompositions of graphs into induced subgraphs 53 Ervin Gy}ori, Making a C6-free graph C4-free and bipartite 53 Hortensia Galeana-S´anchez, An extension of Richard- son's theorem in m-colored digraphs . 53 Ricardo Strausz, On panchromatic digraphs and the panchro- matic number . 54 Evans M. Harrell, On sums of graph eigenvalues . 54 Jelena Sedlar, On solutions of several conjectures about remoteness and proximity in graphs . 55 Yelena Yuditsky, Gy´arf´asconjecture is almost always true 55 Anton Bernshteyn, New Upper Bounds for the Acyclic Chromatic Index . 56 6 Alexandre Pinlou, Entropy compression method applied to graph colorings . 56 Sebastian Czerwi´nski, Harmonious Coloring of Hypergraphs 57 Zhao Zhang, Approximation Algorithm for the Fault Tol- erant Virtual Backbone in a Wireless Sensor Network 57 Jørgen Bang-Jensen, The complexity of finding arc-disjoint branching flows . 58 Csaba Kir´aly, Augmenting graphs to become (k; `)-redundant 59 Aris Pagourtzis, Topological Conditions for Reliable Broad- cast in Ad Hoc Networks . 59 Susan A. van Aardt, Destroying Longest Cycles in Graphs 60 Marietjie Frick, Destroying Longest Cycles in Digraphs . 60 Christoph Brause, On a reduction of 3-path Vertex Cover Problem to Vertex Cover Problem . 60 Eglantine Camby, A Primal-Dual 3-Approximation Algo- rithm for Hitting 4-Vertex Paths . 61 Luca Ferrari, On the M¨obiusfunction of the quasi-consecutive pattern poset . 61 Ahmad Sabri, Restricted Steinhaus-Johnson-Trotter list . 62 Hein van der Holst, A homological characterization of planar graphs . 62 Lu´ısFelipe I. Cunha, An update on sorting permutations by short block-moves . 62 Ingo Schiermeyer, Rainbow connection and size of graphs 63 Jean-Alexandre Angl`esd'Auriac, Connected Tropical Subgraphs in Vertex-Colored Graphs . 63 Leandro Montero, Proper Hamiltonian Cycles in Edge- Colored Multigraphs . 63 Dirk Meierling, Cycles avoiding a Color in Colorful Graphs 64 Stephen G. Gismondi, Deciding Graph non-Hamiltonicity via a Closure Algorithm . 64 Johan de Wet, Hamiltonicity and Traceability of Locally Hamiltonian and Locally Traceable Graphs . 65 Lilian Markenzon, Block Duplicate Graphs: Toughness and Hamiltonicity . 66 7 Herbert Fleischner, Hamiltonicity in squares of graphs revisited . 66 F´abioBotler, Path decompositions of triangle-free 5-regular graphs . 67 Martin Skovieraˇ , Decomposition of eulerian graphs into odd closed trails . 67 Andrea Jim´enez, On path-cycle decompositions of triangle- free graphs . 68 Fairouz Beggas, Decomposition of Complete Multigraphs into Stars and Cycles . 68 Deepak Rajendraprasad, Rainbow Colouring of Split Graphs 69 Souad Slimani, Relaxed locally identifying coloring of graphs 69 Sirirat Singhun, Edge-Odd Graceful Labelings of (n; k)- kite, Fm;n and the two Copies of a Graph . 70 Marius Wo´zniak, Vertex distinguishing colorings of graphs 70 Phablo F. S.
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