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» A Simple Test for Interval Graphs
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DAM
2007
105views more  DAM 2007»
13 years 9 months ago
Recognizing and representing proper interval graphs in parallel using merging and sorting
We present a parallel algorithm for recognizing and representing a proper interval graph in O(log2 n) time with O(m + n) processors on the CREW PRAM, where m and n are the number ...
Jørgen Bang-Jensen, Jing Huang, Louis Ibarr...
COCO
2001
Springer
135views Algorithms» more  COCO 2001»
14 years 2 months ago
Simple Analysis of Graph Tests for Linearity and PCP
We give a simple analysis of the PCP with low amortized query complexity of Samorodnitsky and Trevisan [16]. The analysis also applies to the linearity testing over finite field...
Johan Håstad, Avi Wigderson
ICALP
1995
Springer
14 years 1 months ago
Intervalizing k-Colored Graphs
The problem to determine whether a given k-colored graph is a subgraph of a properly colored interval graph has an application in DNA physical mapping. In this paper, we study the...
Hans L. Bodlaender, Babette de Fluiter
DAM
2007
94views more  DAM 2007»
13 years 9 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...
JGT
2010
158views more  JGT 2010»
13 years 8 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran