AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH

G. N. Nivetha; T. Tharma Raj; A. Gowri

AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH

Abstract

Let $G$ be a graph with $p$ vertices and $q$ edges. The graph $G$ is said to be an adjacent edge graceful graph if there exists bijection mapping $f:E(G)\rightarrow\{1,2,3,...,q\}$ such that the induced vertex mapping $f^*:V(G)\rightarrow N$, where N is a natural number by $f^*(r)=\sum_k f(e_k)$ taken over all edges $e_k$ incident to adjacent vertices of r is an injection. In this article we will go to prove the Pentagonal snake, Alternative Pentagonal Snake, Double Pentagonal snake and Alternative Double Pentagonal Snake are Adjacent Edge Graceful graph.

Keywords

References

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Details

Primary Language

English

Subjects

Combinatorics and Discrete Mathematics (Excl. Physical Combinatorics)

Journal Section

Research Article

Authors

G. N. Nivetha ^* This is me
0009-0005-4117-9304
India

T. Tharma Raj This is me
0009-0003-9288-1414
India

A. Gowri This is me
0009-0003-9241-7312
India

Publication Date

August 7, 2026

Submission Date

May 8, 2025

Acceptance Date

October 21, 2025

Published in Issue

Year 2026 Volume: 16 Number: 8

IZ

https://izlik.org/JA99BX94GL

Cite

RIS / Bibtex

APA

Nivetha, G. N., Tharma Raj, T., & Gowri, A. (2026). AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH. TWMS Journal of Applied and Engineering Mathematics, 16(8), 1006-1017. https://izlik.org/JA99BX94GL

AMA

1.Nivetha GN, Tharma Raj T, Gowri A. AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH. JAEM. 2026;16(8):1006-1017. https://izlik.org/JA99BX94GL

Chicago

Nivetha, G. N., T. Tharma Raj, and A. Gowri. 2026. “AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH”. TWMS Journal of Applied and Engineering Mathematics 16 (8): 1006-17. https://izlik.org/JA99BX94GL.

EndNote

Nivetha GN, Tharma Raj T, Gowri A (August 1, 2026) AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH. TWMS Journal of Applied and Engineering Mathematics 16 8 1006–1017.

IEEE

[1]G. N. Nivetha, T. Tharma Raj, and A. Gowri, “AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH”, JAEM, vol. 16, no. 8, pp. 1006–1017, Aug. 2026, [Online]. Available: https://izlik.org/JA99BX94GL

ISNAD

Nivetha, G. N. - Tharma Raj, T. - Gowri, A. “AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH”. TWMS Journal of Applied and Engineering Mathematics 16/8 (August 1, 2026): 1006-1017. https://izlik.org/JA99BX94GL.

JAMA

1.Nivetha GN, Tharma Raj T, Gowri A. AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH. JAEM. 2026;16:1006–1017.

MLA

Nivetha, G. N., et al. “AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 8, Aug. 2026, pp. 1006-17, https://izlik.org/JA99BX94GL.

Vancouver

1.G. N. Nivetha, T. Tharma Raj, A. Gowri. AN ADJACENT EDGE GRACEFUL LABELING OF PENTAGONAL SNAKE GRAPH. JAEM [Internet]. 2026 Aug. 1;16(8):1006-17. Available from: https://izlik.org/JA99BX94GL