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» Bounds of Graph Characteristics
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DM
2010
132views more  DM 2010»
15 years 3 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
15 years 3 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
179
Voted
DAM
2011
14 years 10 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
138
Voted
SIAMCOMP
2010
172views more  SIAMCOMP 2010»
14 years 10 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
149
Voted
ESA
2009
Springer
122views Algorithms» more  ESA 2009»
15 years 10 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...