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» Dually Chordal Graphs
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WG
2005
Springer
14 years 1 months ago
Computation of Chromatic Polynomials Using Triangulations and Clique Trees
In this paper, we present a new algorithm for computing the chromatic polynomial of a general graph G. Our method is based on the addition of edges and contraction of non-edges of ...
Pascal Berthomé, Sylvain Lebresne, Kim Nguy...
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 7 months ago
A Fully Dynamic Graph Algorithm for Recognizing Interval Graphs
We present the first dynamic graph algorithm for recognizing interval graphs. The algorithm runs in O(n log n) worst-case time per edge deletion or edge insertion, where n is the ...
Louis Ibarra
IPL
2010
115views more  IPL 2010»
13 years 6 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
DAM
2006
88views more  DAM 2006»
13 years 7 months ago
A characterization of triangle-free tolerance graphs
We prove that a triangle-free graph G is a tolerance graph if and only if there exists a set of consecutively ordered stars that partition the edges of G. Since tolerance graphs a...
Arthur H. Busch
CORR
2007
Springer
109views Education» more  CORR 2007»
13 years 7 months ago
Graph rigidity, Cyclic Belief Propagation and Point Pattern Matching
—A recent paper [1] proposed a provably optimal polynomial time method for performing near-isometric point pattern matching by means of exact probabilistic inference in a chordal...
Julian John McAuley, Tibério S. Caetano, Ma...