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Construction of Trees With Unique Minimum Semipaired Dominating Sets

Let G be a graph with vertex set V and no isolated vertices. A subset S ⊆ V is a semipaired dominating set of G if every vertex in V \ S is adjacent to a vertex in S and S can be partitioned into two element subsets such that the vertices in each subset are at most distance two apart. We present a method of building trees having a unique minimum semipaired dominating set.

Identiferoai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-10898
Date01 February 2021
CreatorsHaynes, Teresa W., Henning, Michael A.
PublisherDigital Commons @ East Tennessee State University
Source SetsEast Tennessee State University
Detected LanguageEnglish
Typetext
SourceETSU Faculty Works

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