3 papers
math.GR2026
When are Two Subgroups Independent?
Alexa Gopaulsingh
Rosenmann and Ventura asked "What is the right definition of dependence of subgroups for general groups?". Here we aim to answer this question. We consider a definition of subgroup…
math.CO2025
On Distinguishing Graphs and Cost Number using Automorphism Representations
Alexa Gopaulsingh, Zalán Molnár, Amitayu Banerjee
A distinguishing coloring of a graph is a vertex coloring such that only the identity automorphism of the graph preserves the coloring. A 2-distinguishable graph is a graph which c…
math.CO2024
Distinguishing chromatic number of middle and subdivision graphs
Amitayu Banerjee, Alexa Gopaulsingh, Zalán Molnár
Let be a simple finite connected graph of order greater than or equal to . We obtain the following results: (1). We apply a result of Hamada and Yoshimura from 1976 and…