D3 Divisor Cordial Labelling for Butterfly Graph with Shell Order

A. Sudha Rani, S. Sindu Devi

2023

Abstract

In this paper we introduce D3 Divisor Cordial labelling for butterfly graph with shell order, which is based on the concept of divisor cordial labelling. For this define a function β:V(G)→D3 such that for each edge uv, we assign the label 0 if o(u)/o(v) or o(v)/o(u) assign the label 1 if o(u) not divides o(v). Let us define the new function μα (β) which represents several edges of G having label α under the mapping β. Now β is called D3 divisor cordial labelling if |μ1 (β) −μ0 (β)| ≤ 1. The graph which satisfies the above condition is called the D3 divisor cordial labelling graph. Here we discuss the shell graph, butterfly graph, and butterfly graph with shell order graphs undergoing Dihedral group divisor Cordial Labelling.

Paper Citation

in Harvard Style

Rani A. and Devi S. (2023). D3 Divisor Cordial Labelling for Butterfly Graph with Shell Order. In Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT; ISBN 978-989-758-661-3, SciTePress, pages 429-433. DOI: 10.5220/0012509600003739

in Bibtex Style

@conference{ai4iot23,
author={A. Sudha Rani and S. Sindu Devi},
title={D3 Divisor Cordial Labelling for Butterfly Graph with Shell Order},
booktitle={Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT},
year={2023},
pages={429-433},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0012509600003739},
isbn={978-989-758-661-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 1st International Conference on Artificial Intelligence for Internet of Things: Accelerating Innovation in Industry and Consumer Electronics - Volume 1: AI4IoT
TI - D3 Divisor Cordial Labelling for Butterfly Graph with Shell Order
SN - 978-989-758-661-3
AU - Rani A.
AU - Devi S.
PY - 2023
SP - 429
EP - 433
DO - 10.5220/0012509600003739
PB - SciTePress