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» On the Grundy Number of a Graph
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DM
2008
161views more  DM 2008»
13 years 7 months ago
On the geodetic number and related metric sets in Cartesian product graphs
A set S of vertices of a graph G is a geodetic set if every vertex of G lies in at least one interval between the vertices of S. The size of a minimum geodetic set in G is the geo...
Bostjan Bresar, Sandi Klavzar, Aleksandra Tepeh Ho...
ENDM
2008
114views more  ENDM 2008»
13 years 7 months ago
Strong oriented chromatic number of planar graphs without cycles of specific lengths
A strong oriented k-coloring of an oriented graph G is a homomorphism from G to H having k vertices labelled by the k elements of an abelian additive group M, such that for any p...
Mickaël Montassier, Pascal Ochem, Alexandre P...
DAM
2007
81views more  DAM 2007»
13 years 7 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 8 months ago
The two possible values of the chromatic number of a random graph
Given d (0, ) let kd be the smallest integer k such that d < 2k log k. We prove that the chromatic number of a random graph G(n, d/n) is either kd or kd + 1 almost surely.
Dimitris Achlioptas, Assaf Naor
ICALP
2007
Springer
14 years 1 months ago
On the Chromatic Number of Random Graphs
In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
Amin Coja-Oghlan, Konstantinos Panagiotou, Angelik...