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WG
2005
Springer
14 years 27 days ago
Faster Dynamic Algorithms for Chordal Graphs, and an Application to Phylogeny
We improve the current complexities for maintaining a chordal graph by starting with an empty graph and repeatedly adding or deleting edges.
Anne Berry, Alain Sigayret, Jeremy Spinrad
WG
2005
Springer
14 years 27 days ago
Optimal Broadcast Domination of Arbitrary Graphs in Polynomial Time
Broadcast domination was introduced by Erwin in 2002, and it is a variant of the standard dominating set problem, such that vertices can be assigned various domination powers. Broa...
Pinar Heggernes, Daniel Lokshtanov
WG
2005
Springer
14 years 27 days ago
Channel Assignment and Improper Choosability of Graphs
Abstract. We model a problem proposed by Alcatel, a satellite building company, using improper colourings of graphs. The relation between improper colourings and maximum average de...
Frédéric Havet, Jean-Sébastie...
WG
2005
Springer
14 years 27 days ago
Recognizing HHDS-Free Graphs
In this paper, we consider the recognition problem on the HHDS-free graphs, a class of homogeneously orderable graphs, and we show that it has polynomial time complexity. In partic...
Stavros D. Nikolopoulos, Leonidas Palios
WG
2005
Springer
14 years 27 days ago
Fully Dynamic Algorithm for Recognition and Modular Decomposition of Permutation Graphs
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...
Christophe Crespelle, Christophe Paul