Journal of Guangdong University of Technology ›› 2009, Vol. 26 ›› Issue (4): 7-10.

• Comprehensive Studies • Previous Articles     Next Articles

Hypoenengetic Trees

  

  1. Department of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China
  • Online:2009-12-01 Published:2009-12-01

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Abstract: Let G be a graph on n vertexs and letλ1,λ2,…,λn be its eigenvalues.The energy E（G） of a graph G is defined as the sum of absolute value of all eigenvalues.An n-vertex graph G is said to be hypoenergetic if E（G） is less than n.Gutman said that there exist exactly four n-vertex trees with maximum vertex degreeΔ≤3 with energy less than n by a systematic computer:S1,T3.4.1,T4.4.1,T7.4.1 for n≤22.It proves this conclusion in...

Key words: hypoenergetic tree； graph’s energy； graph’s eigenvalues；

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