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Frucht Graph is not Hyperenergetic
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Intelligent Information Management·Volume 01 (2009)·Pages 120–121·Published 30 November 2009·DOI10.4236/iim.2009.12017
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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
Keywordsenergy of a graphhyperenergeticfrucht graphautomorphism
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