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Time Space Optimal Algorithm for Computing Separators in Bounded Genus Graphs

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arxiv 2005.06419 v1 pith:57H7QAV4 submitted 2020-05-13 cs.CC

classification cs.CC
keywords graphalgorithmcomputinggenusgraphsseparatorseparatorssmall
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abstract

A graph separator is a subset of vertices of a graph whose removal divides the graph into small components. Computing small graph separators for various classes of graphs is an important computational task. In this paper, we present a polynomial time algorithm that uses $O(g^{1/2}n^{1/2}\log n)$-space to find an $O(g^{1/2}n^{1/2})$-sized separator of a graph having $n$ vertices and embedded on a surface of genus $g$.

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