Intelligent Information Management

Volume 1, Issue 2 (November 2009)

ISSN Print: 2160-5912   ISSN Online: 2160-5920

Google-based Impact Factor: 1.15  Citations  

Frucht Graph is not Hyperenergetic

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DOI: 10.4236/iim.2009.12017    9,649 Downloads   13,536 Views  Citations
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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

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PIRZADA, S. (2009) Frucht Graph is not Hyperenergetic. Intelligent Information Management, 1, 120-121. doi: 10.4236/iim.2009.12017.

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