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» On the Grundy Number of a Graph
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TCS
2008
13 years 9 months ago
An annotated bibliography on guaranteed graph searching
Graph searching encompasses a wide variety of combinatorial problems related to the problem of capturing a fugitive residing in a graph using the minimum number of searchers. In t...
Fedor V. Fomin, Dimitrios M. Thilikos
DAM
2000
78views more  DAM 2000»
13 years 9 months ago
Maximal cubic graphs with diameter 4
We prove that there is no cubic graph with diameter 4 on 40 vertices. This implies that the maximal number of vertices of a (3,4)-graph is 38. ? 2000 Elsevier Science B.V. All rig...
Dominique Buset
ENDM
2002
109views more  ENDM 2002»
13 years 9 months ago
Graph Operations and Zipfian Degree Distributions
The probability distribution on a set S = { 1, 2, . . . , n } defined by Pr(k) = 1/(Hnk), where Hn in the nth harmonic number, is commonly called a Zipfian distribution. In this no...
Walter W. Kirchherr
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 4 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood
DM
2007
142views more  DM 2007»
13 years 9 months ago
Dominating direct products of graphs
An upper bound for the domination number of the direct product of graphs is proved. It in particular implies that for any graphs G and H, γ(G × H) ≤ 3γ(G)γ(H). Graphs with a...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall