Article ID: MTJPAM-D-22-00042

Title: Characterization and Zagreb indices of the projective path graphs of order k

Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-22-00042; Volume 5 / Issue 3 / Year 2023, Pages 111-119

Document Type: Research Paper

Author(s): Fatma Özen Erdoğan a

aDepartment of Mathematics, Faculty of Arts and Science, Bursa Uludag University, 16059 Bursa, Turkey

Received: 30 December 2022, Accepted: 22 March 2023, Published: 30 March 2023.

Corresponding Author: Fatma Özen Erdoğan (Email address:

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In this paper; general formulae for vertex and edge partition of projective path graphs are obtained from projective planes of order k. Then, the characterization of projective-path graphs is presented. The general formulae of additive and multiplicative Zagreb indices and Narumi-Katayama index for the projective path graphs in terms of order k are given. Finally, the vertex-adjacency matrices and energies related to projective path graphs, that are obtained from the projective planes of order k = 2, 3, 4, 5 are calculated.

Keywords: Graph, degree sequence, path, projective plane, topological indices, energy, spectrum, adjacency matrix

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