Frucht Graph is not Hyperenergetic

S. PIRZADA
DOI: 10.4236/iim.2009.12017                

Abstract

If are the eigen values of a p-vertex graph , the energy of is . If , then is said to be hyperenergetic. We show that the Frucht graph, the graph used in the proof of well known Frucht’s theorem, is not hyperenergetic. Thus showing that every abstract group is isomorphic to the automorphism group of some non-hyperenergetic graph. AMS Mathematics Subject Classification: 05C50, 05C35

Keywords

energy of a graph, hyperenergetic, frucht graph, automorphism

Conflicts of Interest

The authors declare no conflicts of interest.

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