首页|Enumeration of subtrees of planar two-tree networks

Enumeration of subtrees of planar two-tree networks

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? 2022The number of subtrees, also referred to as the subtrees index, is a key parameter to measure graph structures such as networks. In this paper, we investigate the number of subtrees of planar two-tree networks. By “adding a virtual edge” and “edge orientation”, we present a linear time algorithm for computing the number of subtrees of planar two-tree networks, as well as a family of planar two-connected networks. As applications, we provide the formulae for the number of subtrees of the famous small-world Farey network and GDURT network. We also discuss the relationship between the spanning subtree number and the subtree number of these networks.

Edge orientationPlanar two-connected networksPlanar two-tree networksSubtreeVirtual edge

Sun D.、Liu K.、Li L.、Yang Y.、Wang H.

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School of Information Dalian Maritime University

School of Software Pingdingshan University

Department of Mathematical Sciences Georgia Southern University

2022

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN:0096-3003
年,卷(期):2022.434
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