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From the 1 of 5 linked papers with an AI index.

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20242026
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5 papers

math.CO2026

On the mixed metric dimension of -connected graphs

Shi Chen, Xuanlong Ma

The paper proves that any 2‑connected graph that is not a cycle has mixed metric dimension at most twice its cyclomatic number, and uses this bound to settle a conjecture of Sedlar…

math.GR2026

On finite groups whose coprime graph is a divisor graph

Xuanlong Ma, Liangliang Zhai, Nan Gao +1

In this paper, we first characterize which generalized lexicographic products are divisor graphs. As applications, we show that power graphs, reduced power graphs and order graphs…

math.GR2026

The diameter and dominating sets of the difference graph of a nilpotent group

Xuanlong Ma, Samir Zahirović, Katarina Žigerović

Given a finite group , the difference graph of , denoted by , is the difference of the enhanced power graph of and the power graph of , with all isolat…

math.GR2025

Forbidden subgraphs on conjugacy class graphs of groups

Papi Ray, Sonakshee Arora, Xuanlong Ma

Let be a finite group. The commuting (resp. nilpotent) conjugacy class graph (resp. ) of is a simple graph whose vertex set consists of all non-c…

math.CO2024

(Total) Perfect codes in (extended) subgroup sum graphs

Xuanlong Ma, Yuefeng Yang, Liangliang Zhai

Given a finite group with identity and a normal subgroup of , the subgroup sum graph (resp. extended subgroup sum graph ) of with respect…