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» Small Alliances in Graphs
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DM
2007
93views more  DM 2007»
15 years 1 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»
15 years 1 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
15 years 7 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»
15 years 6 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