On vertices of outdegree k in minimally k-arc-connected digraphs

被引：0

作者：

Fan, Jun ^{[1
]}

Hu, Xiaomin ^{[1
]}

Yang, Weihua ^{[1
]}

Zhao, Shuang ^{[1
]}

机构：

[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Peoples R China

来源：

DISCRETE APPLIED MATHEMATICS | 2025年 / 361卷

关键词：

Digraph; Out-terminal; In-terminal; Tree representation; Minimally k-arc-connected; ANGLES; NUMBER;

D O I：

10.1016/j.dam.2024.11.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be a positive integer, and D = (V(D), E(D)) be a minimally k-arc-connected simple digraph. Mader conjectured (Combinatorics 2 (1996) 423-449) that there are at least k + 1 vertices of outdegree k in D. In this paper we prove that there are at least four vertices of outdegree k for k >= 3. (c) 2024 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页码：465 / 472

页数：8

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