**Title:** Energy of Prime Graphs and its Bounds

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

**Article ID:** MTJPAM-D-21-00018; **Volume 3 / Issue 2 / Year 2021**, Pages 29-37

**Document Type:** Research Paper

**Author(s):** Chandrashekar Adiga ^{a} , Anitha Narasimhamurthy ^{b} , Mungara Deepthi Rao ^{c}

^{a}Department of Studies in Mathematics, University of Mysore, Manasagangothri, Mysuru-570 006, INDIA and Adjunct Professor, Adichunchanagiri University, Bengaluru – Hassan National Highway (NH-75), Nagamangala Taluk, B G Nagara – 571 448, Mandya District, INDIA

^{b}Department of Science and Humanities, PES University, 100ft. Ring Road, BSK 3rd Stage, Bengaluru – 560085, INDIA

^{c}Department of Science and Humanities, PES University, 100ft. Ring Road, BSK 3rd Stage, Bengaluru – 560085, INDIA

Received: 25 January 2021, Accepted: 9 March 2021, Published: 31 March 2021.

**Corresponding Author:** Chandrashekar Adiga (Email address: c_adiga@hotmail.com)

**Full Text:** PDF

**Abstract**

The special properties of factorization of primes makes it vitally important to communication. The RSA encryption system uses prime numbers to encrypt data. Motivated by the work on Fibonacci graph by Adiga et al.[1], in this paper we define a prime graph and examine its eigenvalues and obtain upper and lower bounds for the energy of the prime graph.

**Keywords:** Prime graph, Energy of a graph, Bounds for energy of a graph, Ramanujan graph

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