Open AccessThe Vertex Degree Distances of One Vertex Union of the Cycle and the Star
Author(s) -
Hui Xie,
Ni-Ni Xue,
Jingjing Yang
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2173/1/012067
Subject(s) - vertex (graph theory) , mathematics , combinatorics , neighbourhood (mathematics) , degree (music) , star (game theory) , graph , feedback vertex set , discrete mathematics , physics , mathematical analysis , acoustics
The degree distance of a graph is a graph invariant that is more sensitive than the Wiener index. In this paper, we calculate the vertex degree distances of one vertex union of the cycle and the star, and the degree distance of one vertex union of the cycle and the star. These results lay a foundation for further study on the extremal values of the vertex degree distances, and the distribution of the vertices with the extremal values in one vertex union of the cycle and the star.