Abstract
Corresponding to a graph, one can define several matrices, and finding the eigenvalues of such matrices gives us the spectrum. Graph energy is defined as the sum of the absolute values of the eigenvalues and it has important applications related to molecular graphs. In this paper, we introduce some spectral properties of oriented graphs. We determine characteristic polynomials of several oriented graph classes, the effect of edge addition to characteristic polynomial, and also give several recursive results for the characteristic polynomial of an oriented graph by means of cut vertices, bridges, paths, and pendant edges.
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Demirci, M., Ana, U., Cangul, I.N. (2021). Properties of Characteristic Polynomials of Oriented Graphs. In: Paikray, S.K., Dutta, H., Mordeson, J.N. (eds) New Trends in Applied Analysis and Computational Mathematics. Advances in Intelligent Systems and Computing, vol 1356. Springer, Singapore. https://doi.org/10.1007/978-981-16-1402-6_5
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DOI: https://doi.org/10.1007/978-981-16-1402-6_5
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