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Paper   IPM / M / 9550
School of Mathematics
  Title:   On incidence energy of graphs
  Author(s):  D. Kiani (Joint with I. Gutman and M. Mirzakhah)
  Status:   Published
  Journal: MATCH Communication in Methematical and in Computer Chemistry
  Vol.:  62
  Year:  2009
  Pages:   573-580
  Supported by:  IPM
It is shown that in the case of bipartite graphs, the incidence energy IE , introduced in a recent work [M. R. Jooyandeh, D. Kiani, M. Mirzakhah, MATCH Commun. Math. Comput. Chem., preceding article] coincides with the previously studied Laplacian-energy like invariant, LEL [ J. Liu, B. Liu, MATCH Commun. Math. Comput. Chem. 59 (2008) 355-372]. In the case of non-bipartite graphs, IE is equal to the quantity LEL+ , calculated in an analogous manner as LEL , but from the eigenvalues of the signless Laplacian matrix. Some other relations for IE are pointed out.

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