Abstract
The monophonic distance matrix of a simple connected graph G(p, q) is a square matrix of order p whose entries are the monophonic distances. In this paper the monophonic indices of cycle graph, wheel graph, ladder graph and circular ladder graph are determined by forming the monophonic polynomial from the corresponding monophonic distance matrices of graphs.
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References
Arul Paul Sudhahar, P., Little Flower, M.: Total edge detour monophonic number of a graph (2019). https://doi.org/10.29055/jcms/1004
Arumugam, S.: The upper connected vertex detour monophonic number of a graph. Indian J. Pure Appl. Math. 49(2), 365–379 (2018)
Titus, P., Ganesamoorthy, K.: Upper detour monophonic number of a graph. Electron. Notes Discret. Math. 53, 331–342 (2016)
Titus, P., Ganesamoorthy, K.: On the detour monophonic number of a graph. Ars Comb. 129, 33–42 (2016)
Santhakumaran, A.P., Titus, P.: A note on “monophonic distance in graphs”. Discret. Math. Algorithms Appl. 4(2), 1250018 (2012)
Santhakumaran, A.P., Titus, P.: Monophonic distance in graphs. Discret. Math. Algorithms Appl. 3(2), 159–169 (2011)
Kathiresan, K.M., et al.: Detour wiener indices of graphs. Bull. ICA 62, 33–47 (2011)
Kaladevi, V., Backialakshmi, P.: Detour distance polynomial of double star graph and cartesian product of P2 × Cn. Antarct. J. Math. 8(5), 399–406 (2011)
Chantrand, G., Zhang, P.: Distance in graphs, taking the longview AKCE. J. Graphs Combin. 1, 1–13 (2004)
Furtula, B., et al.: Wiener-type topological indices of phenyleness. Indian J. Chem. 41 A(9), 1767–1772 (2002)
Lukovits, L.: The detour index. Croat. Chem. Acta 69, 873–882 (1996)
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Kaladevi, V., Kavitha, G. (2019). Monophonic Distance Based Indices of Graphs. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Computational Statistics and Mathematical Modeling Methods in Intelligent Systems. CoMeSySo 2019 2019. Advances in Intelligent Systems and Computing, vol 1047. Springer, Cham. https://doi.org/10.1007/978-3-030-31362-3_24
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DOI: https://doi.org/10.1007/978-3-030-31362-3_24
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