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ENDM
2007
93views more  ENDM 2007»
13 years 8 months ago
Measurable sets with excluded distances
For a set of distances D = {d1, . . . , dk} a set A is called D-avoiding if no pair of points of A is at distance di for some i. We show that the density of A is exponentially sma...
Boris Bukh
ENDM
2007
89views more  ENDM 2007»
13 years 8 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
2007
85views more  ENDM 2007»
13 years 8 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
70views more  ENDM 2007»
13 years 8 months ago
Hamiltonian fault-tolerance of hypercubes
Given a set F of faulty edges or faulty vertices in the hypercube Qn and a pair of vertices u, v, is there a hamiltonian cycle or a hamiltonian path between u and v in Qn −F? We...
Tomás Dvorák, Petr Gregor
ENDM
2007
111views more  ENDM 2007»
13 years 8 months ago
Claw-free circular-perfect graphs
The circular chromatic number of a graph is a well-studied refinement of the chromatic number. Circular-perfect graphs is a superclass of perfect graphs defined by means of this...
Arnaud Pêcher, Xuding Zhu