On the Edge Cover Polynomial Properties of Certain Graph Families

Prof. Dr. Feryal Alayont, Mathematics at Grand Valley State University

Date: May 16, 2024, Thursday

Time: 11:00 am

Place: B257, Faculty of Science, Dokuz Eylül University

Abstract: An edge cover of a simple graph is a subset of the edges so that each vertex is incident with at least one edge in the subset. The edge cover polynomial of a graph is the generating polynomial of the number of edge covers of the graph. Specifically, the edge cover polynomial is defined as where is the number of edge covers with edges. The edge cover polynomials of path and cycle graphs are known to have real roots, and hence have log-concave and unimodal coefficients. In this talk, we will describe how to construct other graph families whose edge cover polynomials have real roots and some whose polynomials have non-real roots, but still have log- concave and unimodal coefficients. This is joint work with Evan Henning and Can Selek.

Feryal Alayont is a Professor of Mathematics at Grand Valley State University. She received her B.S. in mathematics from Bilkent University, Turkey, and her Ph.D. in mathematics from the University of Minnesota. She was a teaching postdoctoral fellow at the University of Arizona from 2003 to 2006. Since 2006, she has been at Grand Valley State University in the Department of Mathematics, where she also served as the Mathematics Advising and Engagement Coordinator from 2016-2022. She is an active undergraduate research mentor and has mentored more than 75 students at GVSU. Her research interests include enumerative combinatorics, graph theory, ethics in mathematics, and the scholarship of teaching of mathematics.

This month’s theme of our career event organized by DEU Faculty of Science Department of Mathematics in cooperation with DEU Career Planning Center and DEU The Graduate School of Natural And Applied Sciences is “Informing Undergraduate Students about Graduate Programs”. Everyone who is interested is invited to the talk titled “Graduate Education in the Department of Mathematics at DEU” given by  Asst. Prof. Dr. Celal Cem SARIOĞLU (Graduate Program  Coordinator of the Mathematics Department) and by  other faculty members of the Department of Mathematics under the moderation of Assoc. Prof.Dr. Aslı GÜÇLÜKAN İLHAN.

Date: Wednesday, 22.05.2024

Time: 13.00-14.00

Location: Classroom No. B255 (DEU Fac. of Sci., Dept. of Math., Block B, 2nd floor)

Speakers:

  • Asst.Prof.Dr. Celal Cem SARIOĞLU (Graduate Program Coordinator of Mathematics Department, DEU)
  • Faculty members of the Department of Mathematics, DEU

Moderator: Assoc. Prof. Dr. Aslı GÜÇLÜKAN İLHAN

How to Prepare TÜBİTAK 2209 Projects?

This month’s theme of our career event organized by DEU Faculty of Science Department of Mathematics in cooperation with DEU Career Planning Center is “I am writing a TÜBİTAK 2209-A/B Project”. Everyone who is interested is invited to the conversation on “How to Prepare TÜBİTAK 2209 Projects?“, which we will hold with Can SELEK (Project manager) and Assoc.Prof.Dr. Aslı GÜÇLÜKAN İLHAN (Project Advisor), their 2009-A projects were supported by TUBİTAK within the scope of 2023, 2nd term applications.

Date: Tuesday, 07.05.2024

Time: 15.00-16.00

Place: Classroom No. B253 (Fac. of Sci. Dept. of Math., Block B, 2nd floor)

Speakers:

  • Can SELEK (Undergraduate student, Mathematics Department, DEU),
  • Assoc.Prof.Dr. Aslı GÜÇLÜKAN İLHAN (Mathematics Department, DEU)

Moderator: Asst.Prof.Dr. Celal Cem SARIOĞLU