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20052026
most citedNotes on factor-criticality, extendibility and independence number

7 citations · 8 across the 10 of their papers we have counts for

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math.CO2023★ 1 cited

Constructing edge-disjoint Steiner trees in Cartesian product networks

Rui Li, Gregory Gutin, He Zhang +3

Cartesian product networks are always regarded as a tool for ``combining'' two given networks with established properties to obtain a new one that inherits properties from both. Fo…

math.CO2022

A minimum semi-degree sufficient condition for one-to-many disjoint path covers in semicomplete digraphs

Ansong Ma, Yuefang Sun, Xiaoyan Zhang

Let be a digraph. We define the minimum semi-degree of as . Let be a positive integer, and let and $T = \{t_{1}, \d…

math.CO2021

Packing Strong Subgraph in Digraphs

Yuefang Sun, Gregory Gutin, Xiaoyan Zhang

In this paper, we study two types of strong subgraph packing problems in digraphs, including internally disjoint strong subgraph packing problem and arc-disjoint strong subgraph pa…

math.CO2017

Directed Hamilton cycles in digraphs and matching alternating Hamilton cycles in bipartite graphs

Zan-Bo Zhang, Xiaoyan Zhang, Xuelian Wen

In 1972, Woodall raised the following Ore type condition for directed Hamilton cycles in digraphs: Let be a digraph. If for every vertex pair and , where there is no arc…

math.CO2017

Minimum size of n-factor-critical graphs and k-extendable graphs

Zanbo Zhang, Xiaoyan Zhang, Dingjun Lou +1

We determine the minimum size of -factor-critical graphs and that of -extendable bipartite graphs, by considering Harary graphs and related graphs. Moreover, we determine the…

math.CO2010★ 7 cited

Notes on factor-criticality, extendibility and independence number

Zan-Bo Zhang, Dingjun Lou, Xiaoyan Zhang

In this paper, we give a sufficient and necessary condition for a -extendable graph to be -factor-critical when , and prove some results on independence numbers in $n…

math.CO2005

New versions of the all-ones problem

Xueliang Li, Xiaoyan Zhang

We study three new versions of the All-Ones Problem and the Minimum All-Ones Problem. The original All-Ones Problem is simply called the Vertex-Vertex Problem, and the three new ve…