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JCO
2007
130views more  JCO 2007»
13 years 10 months ago
On edge orienting methods for graph coloring
We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge ...
Bernard Gendron, Alain Hertz, Patrick St-Louis
CORR
2008
Springer
137views Education» more  CORR 2008»
13 years 10 months ago
On the Complexity of Nash Equilibria of Action-Graph Games
Abstract. We consider the problem of computing Nash Equilibria of action-graph games (AGGs). AGGs, introduced by Bhat and Leyton-Brown, is a succinct representation of games that e...
Constantinos Daskalakis, Grant Schoenebeck, Gregor...
DM
2010
124views more  DM 2010»
13 years 10 months ago
Asymptotic enumeration of 2-covers and line graphs
A 2-cover is a multiset of subsets of [n] := {1, 2, . . . , n} such that each element of [n] lies in exactly two of the subsets. A 2-cover is called proper if all of the subsets o...
Peter J. Cameron, Thomas Prellberg, Dudley Stark
SODA
2003
ACM
138views Algorithms» more  SODA 2003»
13 years 11 months ago
Multirate rearrangeable clos networks and a generalized edge coloring problem on bipartite graphs
Chung and Ross (SIAM J. Comput., 20, 1991) conjectured that the minimum number m(n, r) of middle-state switches for the symmetric 3-stage Clos network C(n, m(n, r), r) to be rearr...
Hung Q. Ngo, Van H. Vu
ENDM
2008
59views more  ENDM 2008»
13 years 10 months ago
Unexpected behaviour of crossing sequences
The nth crossing number of a graph G, denoted crn(G), is the minimum number of crossings in a drawing of G on an orientable surface of genus n. We prove that for every a > b &g...
Matt DeVos, Bojan Mohar, Robert Sámal