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» Bounding the Number of Edges in Permutation Graphs
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STACS
2010
Springer
14 years 12 days ago
Evasiveness and the Distribution of Prime Numbers
Abstract. A Boolean function on N variables is called evasive if its decision-tree complexity is N. A sequence Bn of Boolean functions is eventually evasive if Bn is evasive for al...
László Babai, Anandam Banerjee, Ragh...
DM
1999
145views more  DM 1999»
13 years 5 months ago
Modular decomposition and transitive orientation
A module of an undirected graph is a set X of nodes such for each node x not in X , either every member of X is adjacent to x, or no member of X is adjacent to x. There is a canon...
Ross M. McConnell, Jeremy Spinrad
JCT
2007
146views more  JCT 2007»
13 years 5 months ago
Laplacian spectral bounds for clique and independence numbers of graphs
Let G be a simple graph with n vertices and m edges. Let ω(G) and α(G) be the numbers of vertices of the largest clique and the largest independent set in G, respectively. In th...
Mei Lu, Huiqing Liu, Feng Tian
CORR
2007
Springer
181views Education» more  CORR 2007»
13 years 5 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 9 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham