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ENDM
2007
85views more  ENDM 2007»
13 years 6 months ago
Fast winning strategies in positional games
For the unbiased Maker-Breaker game, played on the hypergraph H, let τM (H) be the smallest integer t such that Maker can win the game within t moves (if the game is a Breaker’...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...
ENDM
2007
104views more  ENDM 2007»
13 years 6 months ago
Matching graphs of Hypercubes and Complete Bipartite Graphs
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
Jirí Fink
ENDM
2007
89views more  ENDM 2007»
13 years 6 months ago
Homomorphisms and Polynomial Invariants of Graphs
This paper initiates a study of the connection between graph homomorphisms and the Tutte polynomial. This connection enables us to extend the study to other important polynomial i...
Delia Garijo, Jaroslav Nesetril, M. P. Revuelta
ENDM
2000
131views more  ENDM 2000»
13 years 6 months ago
Some Topological Methods in Graph Coloring Theory
Attempts to solve the famous Four Color Problem led to fruitful discoveries and rich coloring theories. In this talk, some old and some recent applications of tools from topology ...
Bojan Mohar
ENDM
2000
60views more  ENDM 2000»
13 years 6 months ago
The graph sandwich problem for 1-join composition is NP-complete
A graph is a 1-join composition if its vertex set can be partitioned into four nonempty sets AL; AR; SL and SR such that: every vertex of AL is adjacent to every vertex of AR; no ...
Celina M. Herrera de Figueiredo, Sulamita Klein, K...