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Classifying pentavalent symmetric graphs of order 12pq

Open Mathematics
A graph is said to be symmetric if its automorphism group is transitive on its arcs. Guo et al. (Pentavalent symmetric graphs of order 12p, Electron. J. Combin. 18 (2011), no. 1, #P233, DOI: https://doi.org/10.37236/720) and Ling (Classifying pentavalent
Qian Xiaorui, Ling Bo, Yang Jinlong, Zhao Yun +3 more
doaj +1 more source

Forbidden subgraphs of TI-power graphs of finite groups

Open Mathematics
Given a finite group GG with identity ee, the TI-power graph (trivial intersection power graph) defined on GG, denoted by Γ(G)\Gamma \left(G), is an undirected graph with vertex set GG where distinct vertices aa and bb are adjacent if ⟨a⟩∩⟨b⟩={e}\langle ...
Li Huani, Chen Jin, Lin Shixun
doaj +1 more source

Determination Of All Regular Maps Of Small Genus

Complete lists are given of all reflexible orientable regular maps of genus 2 to 15, all non-orientable regular maps of genus 4 to 30, and all (orientable) rotary but chiral (irreflexible) maps of genus 2 to 15 inclusive.
Marston Conder, Peter Dobesányi
core

Solutions to some congruence equations via suborbital graphs. [PDF]