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DM
2006
144views more  DM 2006»
13 years 5 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
STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 5 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
MP
2006
81views more  MP 2006»
13 years 5 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
AGP
1994
IEEE
13 years 9 months ago
An Abstract Interpretation Framework for (almost) Full Prolog
act Interpretation Framework for (almost) Full Prolog1 B. Le Charlier S. Rossi P. Van Hentenryck University of Namur University of Padova Brown University 21 rue Grandgagnage 7 via...
Baudouin Le Charlier, Sabina Rossi, Pascal Van Hen...
MST
2010
98views more  MST 2010»
13 years 3 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...