## Coulson Integral Formula for the Vertex Energy of a Graph

*Arizmendi, Octavio*;

*Olivera, Beatriz Carely Luna*;

*Ibáñez, Marcelino Ramírez*;

- Subject: Mathematics - Combinatorics | Mathematics - Spectral Theoryarxiv: Computer Science::Databases

- References (11) 11 references, page 1 of 2
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[1] Arizmendi, O., Fernandez J., Juarez-Romero, O., Energy of a vertex . Linear Algebra and its Applications Volume 557, 15 November 2018, Pages 464-495

[2] Arizmendi, O., and Juarez-Romero, O. On bounds for the energy of graphs and digraphs. On bounds for the energy of graphs and digraphs. Contributions of Mexican mathematicians abroad in pure and applied mathematics, 119, Contemp. Math., 709, Aportaciones Mat., Amer. Math. Soc., Providence, RI, (2018).

[3] Brouwer, A. E., and Haemers, W. H. (2012). Spectra of graphs. Springer Science and Business Media.

[4] Coulson, C. A., On the calculation of the energy in unsaturated hydrocarbon molecules. Proc. Cambridge Phil. Soc. 36, 201203 (1940)

[5] Cvetkovic, D. M., Doob, M., and Sachs, H. (1980). Spectra of graphs: theory and application (Vol. 87). Academic Press.

[6] Farrell, E.J., On a general class of graph polynomials, J. Combin. Theory Ser. B, 26(1):111-122, 1979

[7] Gutman, I., Zhang, F. On the quasiordering of bipartite graphs. Publ. Inst. Math. (Belgrade) 40, 1115 (1986)

[8] I. Gutman, F. Zhang, On the ordering of graphs with respect to their matching numbers. Discr. Appl. Math. 15, 2533 (1986)

[9] Li, X., Shi, Y., and Gutman, I. Graph Energy. Springer Science, 2012

[10] F. Zhang, Two theorems of comparison of bipartite graphs by their energy. Kexue Tongbao 28, 726730 (1983)

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