activity
20142023
most citedNarrowing the Complexity Gap for Colouring (,)-Free Graphs

8 citations · 11 across the 6 of their papers we have counts for

collaborators

6 papers

math.CO2023

Near Optimal Colourability on Hereditary Graph Families

Yiao Ju, Shenwei Huang

In this paper, we initiate a systematic study on a new notion called near optimal colourability which is closely related to perfect graphs and the Lov{á}sz theta function. A graph…

math.CO2023

Vertex-Critical -Free Graphs

Shenwei Huang, Zeyu Li

Given two graphs and , a graph is -free if it contains no induced subgraph isomorphic to or . A is the path on vertices. A chair is a…

math.CO2022

Critical (,bull)-free graphs

Shenwei Huang, Jiawei Li, Wen Xia

Given two graphs and , a graph is -free if it contains no induced subgraph isomorphic to or . Let and be the path and the cycle on

cs.GT20162 cited

Computational Complexity of Testing Proportional Justified Representation

Haris Aziz, Shenwei Huang

We consider a committee voting setting in which each voter approves of a subset of candidates and based on the approvals, a target number of candidates are selected. Aziz et al. (2…

cs.DM20161 cited

Structure and algorithms for (cap, even hole)-free graphs

Kathie Cameron, Murilo V. G. da Silva, Shenwei Huang +1

A graph is even-hole-free if it has no induced even cycles of length 4 or more. A cap is a cycle of length at least 5 with exactly one chord and that chord creates a triangle with…

cs.CC20148 cited

Narrowing the Complexity Gap for Colouring (,)-Free Graphs

Shenwei Huang, Matthew Johnson, Daniël Paulusma

For a positive integer and graph , a -colouring of is a mapping such that whenever . The -Colourin…