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DM
2010
132views more  DM 2010»
13 years 8 months ago
Diameter and connectivity of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a given ...
Martin Knor, Sanming Zhou
GC
2008
Springer
13 years 8 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
DAM
2011
13 years 3 months ago
A study of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...
Martin Knor, Guangjun Xu, Sanming Zhou
SIAMCOMP
2010
172views more  SIAMCOMP 2010»
13 years 2 months ago
More Algorithms for All-Pairs Shortest Paths in Weighted Graphs
In the first part of the paper, we reexamine the all-pairs shortest paths (APSP) problem and present a new algorithm with running time O(n3 log3 log n/ log2 n), which improves all...
Timothy M. Chan
ESA
2009
Springer
122views Algorithms» more  ESA 2009»
14 years 2 months ago
Bounded Budget Betweenness Centrality Game for Strategic Network Formations
In this paper, we introduce the bounded budget betweenness centrality game, a strategic network formation game in which nodes build connections subject to a budget constraint in or...
Xiaohui Bei, Wei Chen, Shang-Hua Teng, Jialin Zhan...