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» Small Alliances in Graphs
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DM
2007
93views more  DM 2007»
13 years 5 months ago
Small subgraphs of random regular graphs
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
Jeong Han Kim, Benny Sudakov, Van H. Vu
ENDM
2002
97views more  ENDM 2002»
13 years 5 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
GD
2005
Springer
13 years 11 months ago
Dynamic Spectral Layout of Small Worlds
Spectral methods are naturally suited for dynamic graph layout, because moderate changes of a graph yield moderate changes of the layout under weak assumptions. We discuss some gen...
Ulrik Brandes, Daniel Fleischer, Thomas Puppe
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
13 years 10 months ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld