WG
2010
Springer
13 years 2 months ago
2010
Springer
The problem of determining the cutwidth of a graph is a notoriously hard problem which remains NP-complete under severe restrictions on input graphs. Until recently, non-trivial p...
IPL
2000
13 years 4 months ago
2000
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
IPL
2007
13 years 4 months ago
2007
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
DAM
2007
13 years 4 months ago
2007
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 ...
WG
2004
Springer
13 years 10 months ago
2004
Springer
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
WG
2005
Springer
13 years 10 months ago
2005
Springer
This paper considers the problem of maintaining a compact representation (O(n) space) of permutation graphs under vertex and edge modifications (insertion or deletion). That repr...
WG
2009
Springer
13 years 11 months ago
2009
Springer
Tolerance graphs model interval relations in such a way that intervals can tolerate a certain degree of overlap without being in conflict. This class of graphs, which generalizes...