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» On the Strong Chromatic Number
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JGT
2010
108views more  JGT 2010»
14 years 8 months ago
Hadwiger number and chromatic number for near regular degree sequences
: We consider a problem related to Hadwiger’s Conjecture. Let
Neil Robertson, Zi-Xia Song
DM
2006
79views more  DM 2006»
14 years 9 months ago
Conditional colorings of graphs
For an integer r > 0, a conditional (k, r)-coloring of a graph G is a proper k-coloring of the vertices of G such that every vertex of degree at least r in G will be adjacent t...
Hong-Jian Lai, Jianliang Lin, Bruce Montgomery, Ta...
DM
2000
150views more  DM 2000»
14 years 9 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
APAL
2011
14 years 4 months ago
Dichotomy theorems for countably infinite dimensional analytic hypergraphs
Abstract. We give classical proofs, strengthenings, and generalizations of Lecomte’s characterizations of analytic ω-dimensional hypergraphs with countable Borel chromatic numbe...
Benjamin D. Miller