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20172026
most citedForcing and anti-forcing polynomials of perfect matchings of a pyrene system

11 citations · 11 across the 5 of their papers we have counts for

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7 papers · 1 filter

math.CO2026

Multicolor Ramsey and list Ramsey numbers for star-like trees

Qinghong Zhao, Yaping Mao, Xiangqian Zhou

For a graph \(H\), the \(k\)-color Ramsey number \(r(H;k)\) is the least integer \(N\) such that every \(k\)-edge-coloring of \(K_N\) contains a monochromatic copy of \(H\). A \(k\…

math.CO2023

Ramsey Achievement Games on Graphs : Algorithms and Bounds

Xiumin Wang, Zhong Huang, Xiangqian Zhou +2

In 1982, Harary introduced the concept of Ramsey achievement game on graphs. Given a graph with no isolated vertices. Consider the following game played on the complete graph $…

math.CO2020

Some novel minimax results for perfect matchings of hexagonal systems

Xiangqian Zhou, Heping Zhang

The anti-forcing number of a perfect matching of a graph is the minimum number of edges of whose deletion results in a subgraph with a unique perfect matching , deno…

math.CO2020★ 11 cited

Forcing and anti-forcing polynomials of perfect matchings of a pyrene system

Kai Deng, Saihua Liu, Xiangqian Zhou

The forcing number of a perfect matching of a graph was introduced by Harary et al., which originated from Klein and Randić's ideal of innate degree of freedom of Kekulé structure…

math.CO2018

DP-4-colorability of two classes of planar graphs

Lily Chen, Runrun Liu, Gexin Yu +2

DP-coloring (also known as correspondence coloring) is a generalization of list coloring introduced recently by Dvořák and Postle (2017). In this paper, we prove that every planar…

math.CO2018

The strong chromatic index of -bipartite graphs

Mingfang Huang, Gexin Yu, Xiangqian Zhou

A strong edge-coloring of a graph is a partition of its edge set into induced matchings. We study bipartite graphs with one part having maximum degree at most and…