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» The chromatic covering number of a graph
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92
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JGT
2006
114views more  JGT 2006»
15 years 11 days ago
The chromatic covering number of a graph
Following [1], we investigate the problem of covering a graph G with induced subgraphs G1, . . . , Gk of possibly smaller chromatic number, but such that for every vertex u of G, ...
Reza Naserasr, Claude Tardif
110
Voted
COMBINATORICS
2006
123views more  COMBINATORICS 2006»
15 years 13 days ago
The Non-Crossing Graph
Two sets are non-crossing if they are disjoint or one contains the other. The noncrossing graph NCn is the graph whose vertex set is the set of nonempty subsets of [n] = {1, . . ....
Nathan Linial, Michael E. Saks, David Statter
82
Voted
DM
1998
82views more  DM 1998»
15 years 2 days ago
Signed analogs of bipartite graphs
We characterize the edge-signed graphs in which every 'significant' positive closed walk (or combination of walks) has even length, under seven different criteria for si...
Thomas Zaslavsky
188
Voted
MLQ
2011
14 years 7 months ago
Weak Borel chromatic numbers
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...
Stefan Geschke
116
Voted
ARSCOM
2004
175views more  ARSCOM 2004»
15 years 8 days ago
Circular Chromatic Number of Hypergraphs
The concept of circular chromatic number of graphs was introduced by Vince(1988). In this paper we define circular chromatic number of uniform hypergraphs and study their basic pr...
Changiz Eslahchi, Arash Rafiey