Computing and counting longest paths on circular-arc graphs in polynomial time
نویسندگان
چکیده
منابع مشابه
Computing and Counting Longest Paths on Circular-Arc Graphs in Polynomial Time
The longest path problem asks for a path with the largest number of vertices in a given graph. In contrast to the Hamiltonian path problem, until recently polynomial algorithms for the longest path problem were known only for small graph classes, such as trees. Recently, a polynomial algorithm for this problem on interval graphs has been presented in Ioannidou et al. (2011) [19] with running ti...
متن کاملComputing and Counting the Longest Paths on Circular-Arc Graphs in Polynomial Time
The longest path problem asks for a path with the largest number of vertices in a given graph. In contrast to the Hamiltonian path problem, until recently polynomial algorithms for the longest path problem were known only for small graph classes, such as trees. Recently, a polynomial algorithm for this problem on interval graphs has been presented in [20] with running time O(n) on a graph with ...
متن کاملLongest Paths in Circular Arc Graphs
We show that all maximum length paths in a connected circular arc graph have non–empty intersection.
متن کاملA Note on Longest Paths in Circular Arc Graphs
As observed by Rautenbach and Sereni [SIAM J. Discrete Math. 28 (2014) 335–341] there is a gap in the proof of the theorem of Balister et al. [Combin. Probab. Comput. 13 (2004) 311–317], which states that the intersection of all longest paths in a connected circular arc graph is nonempty. In this paper we close this gap.
متن کاملA note on longest paths in circular arc graph
As observed by Rautenbach and Sereni [SIAM J. Discrete Math. 28 (2014) 335–341] there is a gap in the proof of the theorem of Balister et al. [Combin. Probab. Comput. 13 (2004) 311–317], which states that the intersection of all longest paths in a connected circular arc graph is nonempty. In this paper we close this gap.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2014
ISSN: 0166-218X
DOI: 10.1016/j.dam.2012.08.024