Koolen, J. and Moulton, V. ORCID: https://orcid.org/0000-0001-9371-6435
(2003)
*Maximal energy bipartite graphs.*
Graphs and Combinatorics, 19 (1).
pp. 131-135.
ISSN 0911-0119

## Abstract

Given a graph $G$, its energy $E(G)$ is defined to be the sum of the absolute values of the eigenvalues of $G$. This quantity is used in chemistry to approximate the total $\pi$-electron energy of molecules and in particular, in case $G$ is bipartite, alternant hydrocarbons. Here we show that if $G$ is a bipartite graph with $n$ vertices, then $E(G) \leq \frac{n}{\sqrt{8}}(\sqrt{2} + \sqrt{n})$ must hold, characterize those bipartite graphs for which this bound is sharp, and provide an infinite family of maximal energy bipartite graphs.

Item Type: | Article |
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Faculty \ School: | Faculty of Science > School of Computing Sciences |

Related URLs: | |

Depositing User: | Vishal Gautam |

Date Deposited: | 13 Jun 2011 11:54 |

Last Modified: | 24 Oct 2022 02:58 |

URI: | https://ueaeprints.uea.ac.uk/id/eprint/22439 |

DOI: | 10.1007/s00373-002-0487-7 |

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