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» The k-in-a-tree problem for graphs of girth at least k
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IPL
2007
81views more  IPL 2007»
13 years 7 months ago
Linear-time algorithms for problems on planar graphs with fixed disk dimension
The disk dimension of a planar graph G is the least number k for which G embeds in the plane minus k open disks, with every vertex on the boundary of some disk. Useful properties ...
Faisal N. Abu-Khzam, Michael A. Langston
SODA
2010
ACM
278views Algorithms» more  SODA 2010»
14 years 4 months ago
The edge disjoint paths problem in Eulerian graphs and $4$-edge-connected graphs
We consider the following well-known problem, which is called the edge-disjoint paths problem. Input: A graph G with n vertices and m edges, k pairs of vertices (s1, t1), (s2, t2)...
Ken-ichi Kawarabayashi, Yusuke Kobayashi
SIAMDM
2010
119views more  SIAMDM 2010»
13 years 2 months ago
Surviving Rates of Graphs with Bounded Treewidth for the Firefighter Problem
The firefighter problem is the following discrete-time game on a graph. Initially, a fire starts at a vertex of the graph. In each round, a firefighter protects one vertex not yet ...
Leizhen Cai, Yongxi Cheng, Elad Verbin, Yuan Zhou
IWPEC
2004
Springer
14 years 21 days ago
Parameterized Graph Separation Problems
We consider parameterized problems where some separation property has to be achieved by deleting as few vertices as possible. The following five problems are studied: delete k ve...
Dániel Marx
DAM
2007
94views more  DAM 2007»
13 years 7 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...