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 ...
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...
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...
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...
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...