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» On Regular Factors in Regular Graphs with Small Radius
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AML
2010
98views more  AML 2010»
14 years 10 months ago
Small universal families for graphs omitting cliques without GCH
When no single universal model for a set of structures exists at a given cardinal, then one may ask in which models of set theory does there exist a small family which embeds the r...
Katherine Thompson
JCT
2007
117views more  JCT 2007»
14 years 9 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
JGAA
2007
88views more  JGAA 2007»
14 years 9 months ago
Dynamic Spectral Layout with an Application to Small Worlds
Spectral methods are naturally suited for dynamic graph layout because, usually, moderate changes of a graph yield moderate changes of the layout. We discuss some general principl...
Ulrik Brandes, Daniel Fleischer, Thomas Puppe
DM
2006
144views more  DM 2006»
14 years 9 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna
SIROCCO
2000
14 years 11 months ago
On time versus size for monotone dynamic monopolies in regular topologies
: We consider a well known distributed coloring game played on a simple connected graph: initially, each vertex is colored black or white; at each round, each vertex simultaneously...
Paola Flocchini, Rastislav Kralovic, Alessandro Ro...