Jonathan A. Higgins

activity

20202026

most citedThe Prime Graphs of Some Classes of Finite Groups

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

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Showing 2020Show all

3 papers · 1 filter

math.CO2020

Structural Equivalence in Graphs and Complete Skeletons

Jonathan Higgins

Two vertices $u$ and $v$ of a graph $Γ$ are strucuturally equivalent if and only if the transposition $(u v)$ is in Aut( $Γ$ ), the automorphism group of $Γ$ . Some properties of str…

math.CO2020

Minimal Prime Graphs of Solvable Groups

Chris Florez, Jonathan Higgins, Kyle Huang +2

We explore graph theoretical properties of minimal prime graphs of finite solvable groups. In finite group theory studying the prime graph of a group has been an important topic fo…

math.CO2020

The Adjacency Spectra of Some Families of Minimally Connected Prime Graphs

Chris Florez, Jonathan Higgins, Kyle Huang +2

In finite group theory, studying the prime graph of a group has been an important topic for almost the past half-century. Recently, prime graphs of solvable groups have been charac…