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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ON ALGEBRAIC STRUCTURES OF SQUARE GRID GRAPHS

Authors

  • Leomarich F. Casinillo
  • Edwin B. Fabillar
  • Emily L. Casinillo

Keywords:

algebraic structures, square grid graphs, combinatorial properties, isomorphism theorems

DOI:

https://doi.org/10.17654/0974165825010

Abstract

We investigate the algebraic structures of square grid graphs and obtain isomorphism theorems.

Received: September 23, 2024
Accepted: November 28, 2024

References

A. A. Aradais and F. P. Jamil, Outer-connected semitotal domination in graphs, Eur. J. Pure Appl. Math. 15 (2022), 1265-1279.

C. Berge, The Theory of Graphs and its Applications, Methuen & Co., Ltd., John Wiley & Sons, Inc., London, New York, 1962.

G. M. Estrada, C. M. Loquias, E. L. Enriquez and C. S. Baraca, Perfect doubly connected domination in the join and corona of graphs, International Journal of Latest Engineering Research and Applications (IJLERA) 4(7) (2019), 17-21.

L. F. Casinillo, A note on Fibonacci and Lucas number of domination in path, Electron. J. Graph Theory Appl. 6(2) (2018), 317-325.

L. F. Casinillo, Odd and even repetition sequences of independent domination number, Notes on Number Theory and Discrete Mathematics 26(1) (2020), 8-20.

L. F. Casinillo, A closer look at a path domination number in grid graphs, Journal of Fundamental Mathematics and Applications (JFMA) 6(1) (2023), 18-26.

M. Dorfling and M. A. Henning, A note on power domination in grid graphs, Discrete Applied Mathematics 154(6) (2006), 1023-1027.

T. W. Hungerford, Algebra, Vol. 73, Springer Science & Business Media, New York, 2012.

W. K. Nicholson and E. S. Campos, Rings with the dual of the isomorphism theorem, Journal of Algebra 271(1) (2004), 391-406.

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Published

2024-12-10

Issue

Vol. 42 No. 2 (2025)

Section

Articles

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How to Cite

ON ALGEBRAIC STRUCTURES OF SQUARE GRID GRAPHS. (2024). Advances and Applications in Discrete Mathematics, 42(2), 151-162. https://doi.org/10.17654/0974165825010

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