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Publications, Works in Progress,
Talks, & Conferences Attended

Updated August 2024

In Preparation

1. A.A.R. Mahmud, M. Fuentes, Improved bounds for the maximum number of λ-colorings of (n,m)-graphs, in preparation.

2. M. Fuentes, V. Kamat, A. Nappo, On stars in paths and path-like graphs, in preparation.

List of Publications

1. M. Fuentes, V. Kamat, On intersecting families of subgraphs of perfect matchings, submitted. (PDF)

2. M. Fuentes, The extremality of 2-partite Turán graphs with respect to the number of colorings, SIAM Journal on Discrete Mathematics 37(4), 2523-2543, (2023). (PDF)

3. J. Breen, S. Butler, M. Fuentes, B. Lidický, M. Phillips, A. Riasanovksy, S.Y. Song, R. Villagran, C. Wiseman,
Cedar, and X. Zhang, Xiaohong, Hadamard diagonalizable graphs of order at most 36, submitted. (PDF)

Talks

A * indicates that I was an invited speaker.

1. The extremality of 2-partite Turán graphs with respect to the number of colorings.

Women in Combinatorics 5th Anniversary Virtual Conference (online), July 2024.*
55th Southeastern International Conference on Combinatorics, Graph Theory, & Computing, Florida Atlantic University, March 2024.
ABACUS Graduate Combinatorics Seminar (online), University of California San Diego, January 2022.*
Dept. of Mathematics and Statistics Colloquium, Villanova University, November 2021.*

2. Lecturer, one-day workshop on graph colorings in the DREAMS Program, Villanova University, May 2022.*

3. Maximum number of q-colorings of graphs with fixed numbers of vertices and edges.

Winter Research Symposium, University of Delaware, February 2021.
Discrete Mathematics Seminar, University of Delaware, October 2020.

4. A note on the shameful conjecture.

Hallenbeck Graduate Student Seminar, University of Delaware, February 2018.

5. Bounds on independent sets of a graph.

Combinatorics Seminar, Binghamton University, April 2015.

6. Acyclic orientations of bipartite graphs and their linear extensions.

Combinatorics Seminar, Binghamton University, November 2014.

7. Proper connection of graphs of bipartite circulant graphs.

Graduate Student Seminar, Binghamton University, April 2014.
Combinatorics Seminar, Binghamton University, February 2014.
Student Research Symposium, Montclair State University, April 2013.

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