Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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INDEPENDENT SEMITOTAL DOMINATION IN THE CORONA OF GRAPHS

Authors

  • Bryan L. Susada
  • Rolito G. Eballe

Keywords:

independent semitotal domination, vertex corona of graphs, edge corona of graphs.

DOI:

https://doi.org/10.17654/0974165823038

Abstract

Given a connected noncomplete graph G with order at least 3, a subset is an independent semitotal dominating set of G, abbreviated ISTd-set of G, if W independently dominates G and every element of W is exactly at distance 2 from another element of W. The minimum cardinality of such an ISTd-set of G is denoted by and is called a -set of G. In this study, we characterize the ISTd-sets of the vertex corona and edge corona of two connected graphs G and H, each of which has order at least 3. Finally, we generate specific formulas for the numbers and

Received: March 3, 2023;
Revised: April 6, 2023;
Accepted: April 20, 2023;

References

W. Goddard, M. Henning and C. McPillan, Semitotal domination in graphs, Util. Math. 94 (2014), 67-81.

R. G. Eballe, E. M. Llido and M. T. Nocete, Vertex independence in graphs under some binary operations, Matimyas Matematika 30(1) (2007), 37-40.

B. L. Susada and R. G. Eballe, Independent semitotal domination in the join of graphs, Asian Research Journal of Mathematics 19(3) (2023), 25-31.

A. T. Miranda and R. G. Eballe, Domination defect for the join and corona of graphs, Appl. Math. Sci. 15(12) (2021), 615-623.

Damalerio, M. Remarl Joseph, Rolito G. Eballe, Cherry Mae R. Balingit, Isagani S. Cabahug, Jr. and Ann Leslie V. Flores, Global clustering coefficient of the join and corona of graphs, Asian Research Journal of Mathematics 18(12) (2022), 128-140.

R. G. Eballe, R. Aldema, E. M. Paluga, R. F. Rulete and F. P. Jamil, Global defensive alliances in the join, corona and composition of graphs, Ars Combin. 107 (2012), 225-245.

Mae P. Militante and R. G. Eballe, Exploring the vertex and edge corona of graphs for their weakly connected 2-domination, International Journal of Contemporary Mathematical Sciences 16(4) (2021), 161-172.

Aldwin T. Miranda and Rolito G. Eballe, Domination defect in the edge corona of graphs, Asian Research Journal of Mathematics 18(12) (2022), 95-101.

G. Chartrand, L. Lesniak and P. Zhang, Graphs and Digraphs (Discrete Mathematics and its Applications), 6th ed., Chapman and Hall/CRC, 2015.

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Published

2023-05-13

Issue

Vol. 39 No. 1 (2023)

Section

Articles

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Copyright (c) 2023 Pushpa Publishing House, Prayagraj, India

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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How to Cite

INDEPENDENT SEMITOTAL DOMINATION IN THE CORONA OF GRAPHS. (2023). Advances and Applications in Discrete Mathematics, 39(1), 89-98. https://doi.org/10.17654/0974165823038

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