The total vertex irregularity strength for cubic graphs with a perfect matching

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-01-28 DOI:10.1016/j.disc.2025.114402

Aleams Barra , Muhammad Afifurrahman

引用次数: 0

Abstract

We compute the exact value of the total vertex irregularity strength of a cubic graph G with a perfect matching. In particular, we confirm that the conjectured value of the total vertex irregularity strength holds. Our method uses a

{1, s}

-edge labeling on the graph G, which can be extended to a vertex irregular labeling on G.

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.