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» On almost self-complementary graphs
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DM
2006
144views more  DM 2006»
13 years 7 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
RSA
2006
132views more  RSA 2006»
13 years 7 months ago
Almost universal graphs
We study the question as to when a random graph with n vertices and m edges contains a copy of almost all graphs with n vertices and cn/2 edges, c
Alan M. Frieze, Michael Krivelevich
RSA
2011
89views more  RSA 2011»
13 years 2 months ago
Excluding induced subgraphs: Critical graphs
Determining the cardinality and describing the structure of H-free graphs is wellinvestigated for many graphs H. In the nineties, Prömel and Steger proved that for a graph H with...
József Balogh, Jane Butterfield
APPROX
2005
Springer
96views Algorithms» more  APPROX 2005»
14 years 1 months ago
Derandomized Squaring of Graphs
We introduce a “derandomized” analogue of graph squaring. This operation increases the connectivity of the graph (as measured by the second eigenvalue) almost as well as squar...
Eyal Rozenman, Salil P. Vadhan
MP
2006
81views more  MP 2006»
13 years 7 months ago
Almost all webs are not rank-perfect
Graphs with circular symmetry, called webs, are relevant w.r.t. describing the stable set polytopes of two larger graph classes, quasi-line graphs [8,12] and claw-free graphs [7,8]...
Arnaud Pêcher, Annegret Wagler