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WADS
2009
Springer
281views Algorithms» more  WADS 2009»
14 years 4 months ago
The Simultaneous Representation Problem for Chordal, Comparability and Permutation Graphs
Abstract. We introduce the simultaneous representation problem, defined for any graph class C characterized in terms of representations, e.g. any class of intersection graphs. Two...
Krishnam Raju Jampani, Anna Lubiw
FOCS
2009
IEEE
14 years 4 months ago
Higher Eigenvalues of Graphs
— We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenva...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
DAM
2007
94views more  DAM 2007»
13 years 10 months ago
The harmonious coloring problem is NP-complete for interval and permutation graphs
In this paper, we prove that the harmonious coloring problem is NP-complete for connected interval and permutation graphs. Given a simple graph G, a harmonious coloring of G is a ...
Katerina Asdre, Kyriaki Ioannidou, Stavros D. Niko...
ALGORITHMICA
2004
112views more  ALGORITHMICA 2004»
13 years 9 months ago
Maximum Cardinality Search for Computing Minimal Triangulations of Graphs
Abstract. We present a new algorithm, called MCS-M, for computing minimal triangulations of graphs. LexBFS, a seminal algorithm for recognizing chordal graphs, was the genesis for ...
Anne Berry, Jean R. S. Blair, Pinar Heggernes, Bar...
SIAMCOMP
1998
168views more  SIAMCOMP 1998»
13 years 9 months ago
Efficient Algorithms for the Domination Problems on Interval and Circular-Arc Graphs
This paper first presents a unified approach to design efficient algorithms for the weighted domination problem and its three variants, i.e., the weighted independent, connected,...
Maw-Shang Chang