Math Modeling Seminar: Minimum spectral radius in a given class of graphs

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Math Modeling Seminar

Math Modeling Seminar
Minimum spectral radius in a given class of graphs

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Dr. Vishal Gupta

Visiting Assistant Professor, Department of Mathematics
University of Rochester

Abstract
:
In 1986, Brualdi and Solheid posed the question of determining the maximum and minimum spectral radius of a graph within a given class of simple graphs. Since then, this problem has been extensively studied for various graph classes. In this talk, I will discuss two such classes: simple connected graphs with a given order and size, and simple connected graphs with a given order and dissociation number. This presentation is based on joint work with Sebastian Cioaba, Dheer Noal Desai, and Celso Marques.

Bio: Vishal Gupta is a Visiting Assistant Professor in the Department of Mathematics at the University of Rochester. He obtained his BS-MS degree in Mathematics from the Indian Institute of Science Education and Research (IISER) Bhopal, followed by an MS in Data Science and a PhD in Mathematics from the University of Delaware. His research interests primarily lie in combinatorics and graph theory, particularly the problems in the spectral and extremal graph theory.

Intended Audience: Beginners, undergraduates, graduates. Those with interest in the topic.

Interpreters have been requested.


Contact
Kara Maki
Event Snapshot
When and Where
November 18, 2025
2:00 pm - 3:00 pm
Room/Location: 2300 or via Zoom
Who

This is an RIT Only Event

Interpreter Requested?

Yes

Topics
research