Real world applications of discrete mathematics

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Abstract

Discrete mathematics is an important branch of applied mathematics and graph theory is an important part of
discrete mathematics. It have lot of applications in modern society. Graph colouring or graph labeling is an
important branch of graph theory which can easily solve many real life problems. In this article, we have shown
some direct applications of discrete mathematics, like applications of graph theory to scheduling problems,
coloring of map in GSM mobile phone networks, google maps or GPS, traffic signal lights, Social networks,
aircraft scheduling, etc.

Keywords:

colouring, scheduling problem, interval graph

Mathematics Subject Classification:

Mathematics
  • Sk Amanathulla Department of Mathematics, Raghunathpur College, Raghunathpur,, Purulia, 723121, India.
  • Biswajit Bera Department of Mathematics, Kabi Jagadram Roy Government General Degree college, Mejia, Bankura, India
  • Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India. https://orcid.org/0000-0002-6709-836X
  • Pages: 152-158
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Sk. Amanathulla and M. Pal, $L(0,1)$ - and $L(1,1)$ labelling problems on circular-arc graphs, International Journal of Soft Computing, 11(6) (2016) 343-350.

Sk. Amanathulla and M. Pal, $L(3,2,1)$ - and $L(4,3,2,1)$ labelling problems on circular-arc graphs, International Journal of Control Theory and Applications, 9(34) (2016) 869-884.

Sk. Amanathulla and M. Pal, $L(3,2,1)$-labelling problems on permutation graphs, Transylvanian Review, $25(14), 20173939-3953$.

Sk. Amanathulla and M. Pal, $Lleft(h_1, h_2, ldots, h_mright)$-labelling problems on interval graphs, International Journal of Control Theory and Applications, $10(01)$ (2017) 467-479.

Sk. Amanathulla and M. Pal, $L(3,2,1)$ - and $L(4,3,2,1)$ labelling problems on interval graphs, AKCE International Journal of Graphs and Combinatorics, 14 (2017) 205-215.

Sk. Amanathulla and M. Pal, $Lleft(h_1, h_2, ldots, h_mright)$-labelling problems on circular-are graphs, Far East Journal of Mathematical Sciences, 102(6) (2017) 1279-1300.

Sk. Amanathulla and M. Pal, Surjective $L(2,1)$-labelling of cycles and circular-arc graphs, Journal of Intelligent and Fuzzy Systems, 35 (2018), 739-748.

Sk. Amanathulla and M. Pal, $L(1,1,1)=$ and $L(1,1,1,1)$ labeling problems of square of paths, complete graphs and complete bipartite graphs, Far East Journal of Mathematical Sciences, $106(2)$ (2018) $515-527$.

Sk. Amanathulla, M. Pal and Sankar Sahoo, $L(3,1,1)$ labeling numbers of squares of paths, complete graphs and complete bipartite graphs, Journal of Intelligent and Fuzzy Systems, 36 (2019) 1917-1925.

Sk. Amanathulla and M. Pal, $L(h, k)$-labelling problems on intersection graphs, In Handbook of Research on Advanced Applications of Graph Theory in Modern Society (pp. 437-468). IGI Global.

M S Vinutha and Arathi P, Applications of graph coloring and labeling in computer science, International Journal on Future Revolution in Computer Science and Communication Engineering, 3 (8) 14-16.

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Published

01-01-2021

How to Cite

Sk Amanathulla, Biswajit Bera, and Madhumangal Pal. “Real World Applications of Discrete Mathematics”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 152-8, https://www.malayajournal.org/index.php/mjm/article/view/993.