Semitotal domination number of some graph operations

Makaleler > Tam Makale · 2021

Yazarlar: Zeliha Kartal Yildiz, Aysun AYTAÇ

Numerical Methods for Partial Differential Equations, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2021, cilt 39, ss 1841-1850

DOI: 10.1002/num.22746

Özet

Abstract A semitotal dominating set S (abbreviated semi‐TD‐set) of graph G = (V, E) is a subset such that S is a dominating set and each vertex in the S is within 2 distance from the another vertex of S. The semitotal domination number, denoted by γt2(G), is the minimum cardinality taken over all semitotal dominating sets of G. In this paper, we examine the semitotal domination number of graphs obtained by some graph operations such as corona, join, modular product, and lexicographic product.

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