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 sigma2(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 that, for n>=3 is an odd number...

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Autor principal: Do, Nhu An
Format: Article
Idioma:English
Publicat: Trường Đại học Đà Lạt 2023
Accés en línia:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/114425
https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/830
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Thư viện lưu trữ: Thư viện Trường Đại học Đà Lạt

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