Feb 24 2025

Random Cayley Graphs and Additive Combinatorics from a Combinatorial Perspective

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Monday, February 24, 2025
2:00 PM - 3:00 PM
Type: Seminars | Rutgers Discrete Mathematics Seminar
Presenter(s): Huy Tuan Pham - Institute for Advanced Study
Cayley graphs provide interesting bridges between graph theory, additive combinatorics and group theory. Fixing an ambient finite group, random Cayley graphs are constructed by choosing a generating set at random.
Feb 20 2025

Ascent Sequences Avoiding a Set of Length-3 Patterns

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Thursday, February 20, 2025
5:00 PM - 6:00 PM
Type: Seminars | Experimental Math Seminar
Presenter(s): Toufik Mansour - University of Haifa
​​​​An ascent sequence is a sequence a1a2 · · · an consisting of non-negative integers satisfying a1 = 0 and for 1 < i ≤ n, ai ≤ asc(a1a2 ·
Feb 19 2025

Learning with Drifting Input Distributions

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Wednesday, February 19, 2025
11:00 AM - 12:00 PM
Type: Seminars | Theoretical Computer Science Seminar
Presenter(s): Alessio Mazzetto - Brown University
We develop and analyze a general technique for learning with unknown distribution drift. Given a sequence of independent observations from the last T steps of a distribution that evolves over
Feb 17 2025

Posets with Unbounded Saturation Number

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Monday, February 17, 2025
2:00 PM - 3:00 PM
Type: Seminars | Rutgers Discrete Mathematics Seminar
Presenter(s): Maria-Romina Ivan - University of Cambridge
A poset is short for a partially ordered set. The most common example of a poset is the power set of $[n]$ with the partial relation given by inclusion. Given
Feb 13 2025

A Mirror Step Variant of Gambler's Ruin

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Thursday, February 13, 2025
5:00 PM - 6:00 PM
Type: Seminars | Experimental Math Seminar
Presenter(s): Lucy Martinez - Rutgers University
Consider a gambler who starts with x dollars. At each gamble, the gambler either wins a dollar with probability 1/2 or loses a dollar with probability 1/2. The gambler's goal
Feb 12 2025

Nearly Optimal Approximation of Matrix Functions by the Lanczos Method

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Wednesday, February 12, 2025
11:00 AM - 12:00 PM
Type: Seminars | Theoretical Computer Science Seminar
Presenter(s): Noah Amsel - New York University (NYU)
Approximating the action of a matrix function f(A) on a vector b is an increasingly important primitive in machine learning, data science, and statistics, with applications such as sampling high
Feb 12 2025

Ramsey Theory on Infinite Linear Orders

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Wednesday, February 12, 2025
12:15 PM - 1:15 PM
Type: Seminars | Graduate Combinatorics Seminar
Presenter(s): Max Aires - Rutgers University
Everyone knows (hopefully) Ramsey's Theorem that 2-colorings of infinite graphs contain monochromatic subsets. In this talk, we investigate generalizations of this fact to general linear orders. We first discuss operations
Feb 06 2025

Resurgent Integer Sequences

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Thursday, February 6, 2025
5:00 PM - 6:00 PM
Type: Seminars | Experimental Math Seminar
Presenter(s): David Broadhurst - Open University, UK
In combinatorics, we happily manipulate formal power series, taking no heed of whether they might converge. Applied mathematicians encounter series with no radius of convergence, about which they worry. Jean
Feb 05 2025

Constant Approximation for Weighted Nash Social Welfare with Submodular Valuations

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Wednesday, February 5, 2025
11:00 AM - 12:00 PM
Type: Seminars | Theoretical Computer Science Seminar
Presenter(s): Shi Li - Nanjing University
In this talk, I will give our recent result on the problem of assigning items to agents so as to maximize the emph{weighted} Nash Social Welfare (NSW) under submodular valuations.
Feb 03 2025

Balancing Extensions in Posets of Large Width

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Monday, February 3, 2025
2:00 PM - 3:00 PM
Type: Seminars | Rutgers Discrete Mathematics Seminar
Presenter(s): Max Aires - Rutgers University
A linear extension of P is a linear ordering compatible with the poset relations. Let p(x
Jan 30 2025

A Map of the Holonomic Forest - Searching for Irrationality with Conservative Matrix Fields

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Thursday, January 30, 2025
5:00 PM - 6:00 PM
Type: Seminars | Experimental Math Seminar
Presenter(s): Shachar Weinbaum - Technion
Is this number irrational? This question has been troubling mathematicians since the time of Pythagoras, and inspired a search for good rational approximations of constants. Examining the literature on irrationality,
Jan 29 2025

Constant Rate Isometric Embedding of Hamming Metric into Edit Metric

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Wednesday, January 29, 2025
11:00 AM - 12:00 PM
Type: Seminars | Theoretical Computer Science Seminar
Presenter(s): Mursalin Habib - Rutgers University
A function that maps n-bit strings to N-bit strings is called an isometric embedding of the n-dimensional Hamming metric space to the N-dimensional edit metric space if the Hamming distance
Jan 27 2025

Erdős Unit Distance Problem and Graph Rigidity

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Monday, January 27, 2025
2:00 PM - 3:00 PM
Type: Seminars | Rutgers Discrete Mathematics Seminar
Presenter(s): Orit Raz - Institute for Advanced Study
Erdős unit distance problem asks the following: Let $P$ be a set of $n$ distinct points in the plane, and let $U(P)$ denote the number of pairs of points in
Jan 23 2025

Picking, Posing and Attacking Natural Problems in Discrete Mathematics: from Insightful Bijections to Black-box Help from Machine Learning

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Thursday, January 23, 2025
5:00 PM - 6:00 PM
Type: Seminars | Experimental Math Seminar
Presenter(s): Stoyan Dimitrov - Rutgers University
We will walk through several combinatorial results. Half of them have important motivation coming from computer science and the other half explain surprising observations made by experimentation. We will begin
Jan 22 2025

On the Search to Settle the Complexity of Approximating Directed Steiner Tree

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Wednesday, January 22, 2025
11:00 AM - 12:00 PM
Type: Seminars | Theoretical Computer Science Seminar
Presenter(s): Bundit Laekhanukit - Shanghai University of Finance and Economics
In the directed Steiner tree problem, we are given an edge-weightedgraph G, a root r, and a set of terminals K. The goal is to find a minimum-cost subgraph of
Jan 21 2025

Discrete Geometry via Semialgebraic Graphs

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Tuesday, January 21, 2025
2:00 PM - 3:00 PM
Type: Seminars | Rutgers Discrete Mathematics Seminar
Presenter(s): Jonathan Tidor - Stanford University
** Please note day change to Tuesday Many problems in discrete geometry can be naturally encoded by a graph. Using tools from graph theory then gives information about the original
Dec 19 2024

Eric Angelini's Greatest Sequences

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Thursday, December 19, 2024
5:00 PM - 6:00 PM
Type: Seminars | Experimental Math Seminar
Presenter(s): Neil Sloane - OEIS Foundation
Over a period of 20 years, Eric Angelini contributed 1700 brilliant, clever, witty sequences to the OEIS. I will discuss seven of them: "Which terms are primes?", The Jungfrau, Solar
Dec 12 2024

Enumeration of Corner Polyhedra

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Thursday, December 12, 2024
5:00 PM - 6:00 PM
Type: Seminars | Experimental Math Seminar
Presenter(s): Eric Fusy - Laboratoire d'Informatique Gaspard Monge, Marne-la-Vallée
I will present results on the exact and asymptotic enumeration of corner polyhedra, a special class of simple orthogonal polyhedra introduced by Eppstein and Mumford, whose enumeration can be considered
Dec 11 2024

Ghost Value Augmentation for k-Edge Connectivity

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Wednesday, December 11, 2024
11:00 AM - 12:00 PM
Type: Seminars | Theoretical Computer Science Seminar
Presenter(s): Nathan Klein - Boston University
We show that every fractionally k-edge-connected weighted graph (i.e. every solution to the canonical k-edge-connectivity linear program) can be rounded to an integral (k-10)-edge-connected graph of no greater cost. This
Dec 09 2024

Chow Functions for Partially Ordered Sets

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Monday, December 9, 2024
2:00 PM - 3:00 PM
Type: Seminars | Rutgers Discrete Mathematics Seminar
Presenter(s): Luis Ferroni - Institute for Advanced Study
In a landmark paper in 1992, Stanley developed the foundations of what is now known as the Kazhdan--Lusztig--Stanley (KLS) theory. To each kernel in a graded poset, he associates special