DoctorateOpen Access

Application to the graph of interval matrices

2021
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Advisor: Prof. Dr. Şerife Büyükköse

Abstract (EN)

In this study, firstly, interval weighted graph was defined by considering the concept of the interval matrix. The index definitions of Wiener, 1st and 2nd Zagreb, Hyper Zagreb, SK, SK1, SK2, Szeged and PI used in chemical graph theory given in the literature were given again for interval weighted graphs. Then algorithms were developed to find the Wiener index of the directional and undirected interval weighted graph. Also the behaviors of Wiener, 1. and 2. Zagreb, Hyper Zagreb, SK, SK1, SK2, Szeged and PI indices on some graph operations were investigated. In the last part of the study, comparison results for Szeged and Wiener indices of interval weighted graphs were obtained.

Author

Dr. Semiha Başdaş Nurkahlı

How to Cite

Semiha Başdaş Nurkahlı (Doctorate thesis). Application to the graph of interval matrices, 2021, Gazi University.

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