CONDITIONS FOR GRAPHS ON n VERTICES WITH THE SUM OF DEGREES OF ANY TWO NONADJACENT VERTICES EQUAL TO n-2 TO BE A HAMILTONIAN GRAPH

Let G be an undirected simple graph on \(n \geq 3\) vertices with the degree sum of any two nonadjacent vertices in G equal to \(n - 2\). We determine the condition for G to be a Hamiltonian graph.

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Bibliographische Detailangaben
Hauptverfasser: Do, Nhu An, Nguyen, Quang Tuan
Format: Artikel
Sprache:English
Veröffentlicht: Trường Đại học Đà Lạt 2024
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Online Zugang:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/256904
https://tckh.dlu.edu.vn/index.php/tckhdhdl/article/view/1036
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Beschreibung
Zusammenfassung:Let G be an undirected simple graph on \(n \geq 3\) vertices with the degree sum of any two nonadjacent vertices in G equal to \(n - 2\). We determine the condition for G to be a Hamiltonian graph.