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» The Longest Path Problem Is Polynomial on Interval Graphs
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DM
1999
109views more  DM 1999»
13 years 7 months ago
Hamiltonian powers in threshold and arborescent comparability graphs
We examine powers of Hamiltonian paths and cycles as well as Hamiltonian (power) completion problems in several highly structured graph classes. For threshold graphs we give effic...
Sam Donnelly, Garth Isaak
SOFSEM
2007
Springer
14 years 1 months ago
Algorithmic Aspects of Minimum Energy Edge-Disjoint Paths in Wireless Networks
The problem of finding k minimum energy, edge-disjoint paths in wireless networks (MEEP) arises in the context of routing and belongs to the class of range assignment problems. A ...
Markus Maier, Steffen Mecke, Dorothea Wagner
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 5 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
COCOON
2009
Springer
14 years 1 months ago
Convex Recoloring Revisited: Complexity and Exact Algorithms
We take a new look at the convex path recoloring (CPR), convex tree recoloring (CTR), and convex leaf recoloring (CLR) problems through the eyes of the independent set problem. Th...
Iyad A. Kanj, Dieter Kratsch
MICS
2010
102views more  MICS 2010»
13 years 5 months ago
On Conditional Covering Problem
The conditional covering problem (CCP) aims to locate facilities on a graph, where the vertex set represents both the demand points and the potential facility locations. The proble...
Balasubramanian Sivan, S. Harini, C. Pandu Rangan