THE STRUCTURE OF GRAPHS ON \(n\) VERTICES WITH THE DEGREE SUM OF ANY TWO NONADJACENT VERTICES EQUAL TO \(n-2\)

Let \(G\) be an undirected simple graph on n vertices and \(\sigma^2(G)=n-2\) (degree sum of any two non-adjacent vertices in \(G\) is equal to \(n-2\)) and \(\alpha(G)\) be the cardinality of an maximum independent set of \(G\). In \(G\), a vertex of degree \((n-1)\) is called total vertex. We show...

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Bibliographic Details
Main Author: Do Nhu An
Format: Article
Language:English
Published: Dalat University 2021-10-01
Series:Tạp chí Khoa học Đại học Đà Lạt
Subjects:
Online Access:https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/830
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