The existence of subdigraphs with orthogonal factorizations in digraphs

Let $G$ be a $[0,k_1+k_2+\cdots+k_m-n+1]$-digraph and $H_1,H_2,\cdots,H_r$ be $r$ vertex-disjoint $n$-subdigraphs of $G$, where $m,n,r$ and $k_i$ ($1\leq i\leq m$) are positive integers satisfying $1\leq n\leq m$ and $k_1\geq k_2\geq\cdots\geq k_m\geq r+1$. In this article, we verify that there exis...

Full description

Bibliographic Details
Main Authors: Sizhong Zhou, Quanru Pan
Format: Article
Language:English
Published: AIMS Press 2021-11-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2021075/fulltext.html