Frucht Graph is not Hyperenergetic
S. PIRZADA
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DOI: 10.4236/iim.2009.12017   PDF    HTML     9,524 Downloads   13,589 Views   Citations

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

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S. PIRZADA, "Frucht Graph is not Hyperenergetic," Intelligent Information Management, Vol. 1 No. 2, 2009, pp. 120-121. doi: 10.4236/iim.2009.12017.

Conflicts of Interest

The authors declare no conflicts of interest.

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