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» Spectral Densest Subgraph and Independence Number of a Graph
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DM
1998
100views more  DM 1998»
13 years 7 months ago
Upper domination and upper irredundance perfect graphs
Let β(G), Γ(G) and IR(G) be the independence number, the upper domination number and the upper irredundance number, respectively. A graph G is called Γperfect if β(H) = Γ(H),...
Gregory Gutin, Vadim E. Zverovich
SODA
2008
ACM
112views Algorithms» more  SODA 2008»
13 years 9 months ago
The effect of induced subgraphs on quasi-randomness
One of the main questions that arise when studying random and quasi-random structures is which properties P are such that any object that satisfies P "behaves" like a tr...
Asaf Shapira, Raphael Yuster
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
RSA
2006
66views more  RSA 2006»
13 years 7 months ago
Regular graphs whose subgraphs tend to be acyclic
Motivated by a problem that arises in the study of mirrored storage systems, we describe, for any fixed , > 0 and any integer d 2, explicit or randomized constructions of d-r...
Noga Alon, Eitan Bachmat
DM
2000
150views more  DM 2000»
13 years 7 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West