Graphs with degree sequence { ( m-1)m, m , (n n-1)n} n } and {mn, m n , n m }

被引：0
|
作者：
Brimkov, Boris [1 ]
Brimkov, Valentin [2 ,3 ]
机构：
[1] Slippery Rock Univ, Dept Math & Stat, Slippery Rock, PA USA
[2] SUNY Buffalo State Univ, Math Dept, Buffalo, NY 14260 USA
[3] Bulgarian Acad Sci, Inst Math & Informat, Sofia, Bulgaria
来源：
DISCRETE APPLIED MATHEMATICS | 2024年 / 358卷
关键词：
Degree-equivalent graphs; Hamiltonian graph; Pancyclic graph; Bipartite graph; Maximum clique; HAMILTON CYCLES;
D O I：
10.1016/j.dam.2024.08.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the class of graphs G m , n that have the same degree sequence as two disjoint cliques Km m and K n , as well as the class G m , n of the complements of such graphs. We establish various properties of G m , n and G m , n related to recognition, connectivity, diameter, bipartiteness, Hamiltonicity, and pancyclicity. We also show that several classical optimization problems on these graphs are NP-hard, while others can be solved efficiently. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
引用
收藏
页码：477 / 486
页数：10
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