在去掉弧线的比赛中，有方向的哈密顿路径

IF 0.7 3区数学 Q2 MATHEMATICS

Discrete Mathematics Pub Date : 2025-05-22 DOI:10.1016/j.disc.2025.114578

Ayman El Zein

引用次数: 0

摘要

Havet和thomass解决了Rosenfeld的猜想，即任何n≥8阶的锦标赛都包含任何有向的哈密顿路径。在本文中，我们证明了在n≥8阶的任意比武T中，存在一个弧e使得T−e包含任意有向哈密顿路径。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Oriented Hamiltonian paths in tournaments with an arc removed

Havet and Thomassé settled Rosenfeld's conjecture, which says that any tournament of order

n \geq 8

contains any oriented Hamiltonian path. In this paper, we show that in any tournament T of order

n \geq 8

, there exists an arc e such that

T - e

contains any oriented Hamiltonian path.

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来源期刊

Discrete Mathematics 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

424

审稿时长

6 months

期刊介绍： Discrete Mathematics provides a common forum for significant research in many areas of discrete mathematics and combinatorics. Among the fields covered by Discrete Mathematics are graph and hypergraph theory, enumeration, coding theory, block designs, the combinatorics of partially ordered sets, extremal set theory, matroid theory, algebraic combinatorics, discrete geometry, matrices, and discrete probability theory. Items in the journal include research articles (Contributions or Notes, depending on length) and survey/expository articles (Perspectives). Efforts are made to process the submission of Notes (short articles) quickly. The Perspectives section features expository articles accessible to a broad audience that cast new light or present unifying points of view on well-known or insufficiently-known topics.