Average Degree-Eccentricity Energy of Graphs

Authors

  • Shadi Khalaf Department of Studies in Mathematics, Faculty of Science and Technology Manasagangotri, University of Mysore, Mysore, India.
  • Sultan Mahde Department of Mathematics University of Mysore Mysuru, India
  • Veena Mathad Department of Mathematics University of Mysore Mysuru, India
Abstract:

The concept of average degree-eccentricity matrix ADE(G) of a connected graph $G$ is introduced. Some coefficients of the characteristic polynomial of ADE(G) are obtained, as well as a bound for the eigenvalues of ADE(G). We also introduce the average degree-eccentricity graph energy and establish bounds for it.

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Journal title

volume 3  issue 1

pages  45- 54

publication date 2018-06-01

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