Loading...

Non–Hypoenergetic graphs with nullity 2

Akbari, S ; Sharif University of Technology | 2021

70 Viewed
  1. Type of Document: Article
  2. DOI: 10.46793/match.87-3.717A
  3. Publisher: University of Kragujevac, Faculty of Science , 2021
  4. Abstract:
  5. The energy of a graph G, denoted by E(G), is defined as the sum of absolute values of all eigenvalues of G. A graph of order n, whose energy is less than n, i.e., E(G) < n, is said to be hypoenergetic. Graphs for which E(G) ≥ n are called non-hypoenergetic. A graph of order n is said to be orderenergetic, if its energy and its order are equal, i.e., E(G) = n. In this paper, we characterize non-hypoenergetic graphs with nullity 2. It is proved that except two graphs, every connected graph with nullity 2 is non-hypoenergetic. © 2021 University of Kragujevac, Faculty of Science. All rights reserved
  6. Keywords:
  7. Non–Hypoenergetic graphs
  8. Source: Match ; Volume 87, Issue 3 , 2021 , Pages 717-727 ; 03406253 (ISSN)
  9. URL: https://match.pmf.kg.ac.rs/electronic_versions/Match87/n3/match87n3_717-727.pdf