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» Homomorphism bounded classes of graphs
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DM
2006
107views more  DM 2006»
13 years 8 months ago
On a new reformulation of Hadwiger's conjecture
Assuming that every proper minor closed class of graphs contains a maximum with respect to the homomorphism order, we prove that such a maximum must be homomorphically equivalent ...
Reza Naserasr, Yared Nigussie
ATAL
2010
Springer
13 years 9 months ago
Pure Nash equilibria: complete characterization of hard and easy graphical games
We consider the computational complexity of pure Nash equilibria in graphical games. It is known that the problem is NP-complete in general, but tractable (i.e., in P) for special...
Albert Xin Jiang, MohammadAli Safari
DAM
2010
132views more  DAM 2010»
13 years 8 months ago
Homomorphisms of 2-edge-colored graphs
In this paper, we study homomorphisms of 2-edge-colored graphs, that is graphs with edges colored with two colors. We consider various graph classes (outerplanar graphs, partial 2...
Amanda Montejano, Pascal Ochem, Alexandre Pinlou, ...
CORR
2010
Springer
130views Education» more  CORR 2010»
13 years 8 months ago
Dichotomy for tree-structured trigraph list homomorphism problems
Trigraph list homomorphism problems (also known as list matrix partition problems) have generated recent interest, partly because there are concrete problems that are not known to...
Tomás Feder, Pavol Hell, David G. Schell, J...
MFCS
2007
Springer
14 years 2 months ago
NP by Means of Lifts and Shadows
We show that every NP problem is polynomially equivalent to a simple combinatorial problem: the membership problem for a special class of digraphs. These classes are defined by me...
Gábor Kun, Jaroslav Nesetril