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arXiv · 1011.3421

Star graphs: threaded distance trees and E-sets

Italo J. Dejter
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Abstract

The distribution of distances in the star graph $ST_n$, ($1<n\in\Z$), is established, and subsequently a threaded binary tree is obtained that realizes an orientation of $ST_n$ whose levels are given by the distances to the identity permutation, via a pruning algorithm followed by a threading algorithm. In the process, the distributions of distances of the efficient dominating sets of $ST_n$ are determined.

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Italo J. Dejter. 2010-11-15. Star graphs: threaded distance trees and E-sets. https://arxiv.org/abs/1011.3421

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