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SIAMDM
2008
95views more  SIAMDM 2008»
14 years 11 months ago
A Note On Reed's Conjecture
In [5], Reed conjectures that every graph satisfies ++1 2 . We prove this holds for graphs with disconnected complement. Combining this fact with a result of Molloy proves the co...
Landon Rabern
WG
2009
Springer
15 years 5 months ago
A New Intersection Model and Improved Algorithms for Tolerance Graphs
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This class of graphs, which generalizes...
George B. Mertzios, Ignasi Sau, Shmuel Zaks
FCT
2007
Springer
15 years 5 months ago
Path Algorithms on Regular Graphs
We consider standard algorithms of finite graph theory, like for instance shortest path algorithms. We present two general methods to polynomially extend these algorithms to infi...
Didier Caucal, Dinh Trong Hieu
FCT
2009
Springer
15 years 5 months ago
Directed Graphs of Entanglement Two
Entanglement is a complexity measure for directed graphs that was used to show that the variable hierarchy of the propositional modal µ-calculus is strict. While graphs of entangl...
Erich Grädel, Lukasz Kaiser, Roman Rabinovich
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
15 years 5 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert