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A new perspective from hypertournaments to tournaments

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2024-12-17 DOI:10.1016/j.dam.2024.12.010

Jiangdong Ai , Qiming Dai , Qiwen Guo , Yingqi Hu , Changxin Wang

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引用次数: 0

Abstract

k

-hypertournament

H

n

vertices is a pair

(V, A)

for

2 \leq k \leq n

, where

V (H)

is a set of vertices, and

A (H)

is a set of all possible

k

-tuples of vertices, such that for any

k

-subset

S

V

A (H)

contains exactly one of the

k!

possible permutations of

S

. In this paper, we investigate the relationship between a hyperdigraph and its corresponding normal digraph. Particularly, drawing on a result from Gutin and Yeo (1997), we establish an intrinsic relationship between a strong

k

-hypertournament and a strong tournament, which enables us to provide an alternative (more straightforward and concise) proof for some previously known results and get some new results.

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.