A spanning tree of an unweighted graph is a minimum average stretch spanning tree if it minimizes the ratio of sum of the distances in the tree between the end vertices of the graph edges and the number of graph edges. We consider the problem of computing a minimum average stretch spanning tree in polygonal 2-trees, a super class of 2-connected outerplanar graphs. For a polygonal 2-tree on n vertices, we present an algorithm to compute a minimum average stretch spanning tree in O(n logn) time. This also finds a minimum fundamental cycle basis in polygonal 2-trees. © 2014 Springer International Publishing Switzerland.
CITATION STYLE
Narayanaswamy, N. S., & Ramakrishna, G. (2014). On minimum average stretch spanning trees in polygonal 2-trees. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 8344 LNCS, pp. 310–321). Springer Verlag. https://doi.org/10.1007/978-3-319-04657-0_29
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