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COLOGNETWENTE
2009
15 years 15 days ago
A Simple Linear-Time Recognition Algorithm for Weakly Quasi-Threshold Graphs
: Weakly quasi-threshold graphs form a proper subclass of the well-known class of cographs by restricting the join operation. In this paper we characterize weakly quasi-threshold g...
Stavros D. Nikolopoulos, Charis Papadopoulos
COCOON
2006
Springer
15 years 3 months ago
Characterizations and Linear Time Recognition of Helly Circular-Arc Graphs
Abstract. A circular-arc model (C, A) is a circle C together with a collection A of arcs of C. If A satisfies the Helly Property then (C, A) is a Helly circular-arc model. A (Helly...
Min Chih Lin, Jayme Luiz Szwarcfiter
DM
1998
100views more  DM 1998»
14 years 11 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
COMBINATORICS
2007
72views more  COMBINATORICS 2007»
14 years 11 months ago
Matrix Partitions with Finitely Many Obstructions
Each m by m symmetric matrix M over 0, 1, ∗, defines a partition problem, in which an input graph G is to be partitioned into m parts with adjacencies governed by M, in the sen...
Tomás Feder, Pavol Hell, Wing Xie
SODA
2004
ACM
121views Algorithms» more  SODA 2004»
15 years 23 days ago
A characterization of easily testable induced subgraphs
Let H be a fixed graph on h vertices. We say that a graph G is induced H-free if it does not contain any induced copy of H. Let G be a graph on n vertices and suppose that at leas...
Noga Alon, Asaf Shapira