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» On Graph Isomorphism for Restricted Graph Classes
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CORR
2010
Springer
90views Education» more  CORR 2010»
14 years 11 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
COCO
2006
Springer
97views Algorithms» more  COCO 2006»
15 years 3 months ago
Grid Graph Reachability Problems
We study the complexity of restricted versions of s-t-connectivity, which is the standard complete problem for NL. In particular, we focus on different classes of planar graphs, o...
Eric Allender, David A. Mix Barrington, Tanmoy Cha...
COCOON
1999
Springer
15 years 4 months ago
Area Minimization for Grid Visibility Representation of Hierarchically Planar Graphs
Abstract. Hierarchical graphs are an important class of graphs for modelling many real applications in software and information visualization. In this paper, we shall investigate t...
Xuemin Lin, Peter Eades
DM
2006
92views more  DM 2006»
14 years 11 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
98
Voted
DAM
2008
87views more  DAM 2008»
14 years 11 months ago
Partial characterizations of clique-perfect graphs I: Subclasses of claw-free graphs
A clique-transversal of a graph G is a subset of vertices that meets all the cliques of G. A clique-independent set is a collection of pairwise vertex-disjoint cliques. The clique...
Flavia Bonomo, Maria Chudnovsky, Guillermo Dur&aac...