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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Main Author: | Do Nhu An |
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Format: | Article |
Language: | English |
Published: |
Dalat University
2021-10-01
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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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