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» The Complexity of Graph Connectivity
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ENDM
2002
97views more  ENDM 2002»
13 years 10 months ago
Traceability in Small Claw-Free Graphs
We prove that a claw-free, 2-connected graph with fewer than 18 vertices is traceable, and we determine all non-traceable, claw-free, 2-connected graphs with exactly 18 vertices an...
John M. Harris, Michael J. Mossinghoff
FOCS
2006
IEEE
14 years 4 months ago
A Local Switch Markov Chain on Given Degree Graphs with Application in Connectivity of Peer-to-Peer Networks
We study a switch Markov chain on regular graphs, where switches are allowed only between links that are at distance 3; we call this the Flip. The motivation for studying the Flip...
Tomás Feder, Adam Guetz, Milena Mihail, Ami...
JCO
2008
134views more  JCO 2008»
13 years 10 months ago
On minimum m -connected k -dominating set problem in unit disc graphs
Minimum m-connected k-dominating set problem is as follows: Given a graph G = (V,E) and two natural numbers m and k, find a subset S V of minimal size such that every vertex in V ...
Weiping Shang, F. Frances Yao, Peng-Jun Wan, Xiaod...
ESA
2007
Springer
140views Algorithms» more  ESA 2007»
14 years 4 months ago
On Minimum Power Connectivity Problems
Given a (directed or undirected) graph with edge costs, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of its n...
Yuval Lando, Zeev Nutov
SIGMOD
2010
ACM
196views Database» more  SIGMOD 2010»
14 years 2 months ago
Connected substructure similarity search
Substructure similarity search is to retrieve graphs that approximately contain a given query graph. It has many applications, e.g., detecting similar functions among chemical com...
Haichuan Shang, Xuemin Lin, Ying Zhang, Jeffrey Xu...