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» On classes of minimal circular-imperfect graphs
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ARSCOM
1999
57views more  ARSCOM 1999»
13 years 5 months ago
Minimal Partitions of a Graph
For a given graph G, we fix s, and partition the vertex set into s classes, so that any given class contains few edges. The result gives a partition (U1,
Thomas Dale Porter
DM
2006
92views more  DM 2006»
13 years 5 months ago
Minimal triangulations of graphs: A survey
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph is called a triangulation of the input graph. In this paper we study minimal tr...
Pinar Heggernes
JCT
2008
84views more  JCT 2008»
13 years 5 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
JGAA
2006
127views more  JGAA 2006»
13 years 5 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
COCOON
2009
Springer
13 years 12 months ago
Strongly Chordal and Chordal Bipartite Graphs Are Sandwich Monotone
A graph class is sandwich monotone if, for every pair of its graphs G1 = (V, E1) and G2 = (V, E2) with E1 ⊂ E2, there is an ordering e1, . . . , ek of the edges in E2 \ E1 such ...
Pinar Heggernes, Federico Mancini, Charis Papadopo...