The Bunkbed Conjecture Debunked - A Counterexample with 7222 Vertices
Explore a groundbreaking development in probabilistic graph theory in this 15-minute video by Dr. Trefor Bazett. Learn about the recent disproval of the famous bunkbed conjecture, featuring a surprising counterexample with 7,222 vertices. Delve into the…
DHMAE: A Disentangled Hypergraph Masked Autoencoder for Group Recommendation - Lecture 4
Explore a novel approach to group recommendation using disentangled hypergraph masked autoencoders, enhancing accuracy and efficiency in collaborative filtering systems.
Introduction to High Dimensional Expanders - Irit Dinur
Explore high dimensional expanders with Irit Dinur, covering random walks, spectral expansion, and hypergraphs. Gain insights into this advanced topic in discrete mathematics and computer science.
Asaf Shapira - Local vs Global Combinatorics
Explore extremal combinatorics through the Brown-Erdős-Sós conjecture, hypergraph theory, and removal lemmas. Gain insights into local-global principles and their applications in mathematics.
Applied Topology for Discrete Structures
Explore topological concepts applied to discrete structures modeling real data, bridging network science and applied topology for innovative analysis of complex systems.
Applications in Extremal Combinatorics - Lecture 2
Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.
Applications in Extremal Combinatorics - Lecture 1
Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.
Higher-Dimensional Expansion of Random Geometric Complexes
Explores 2-dimensional spectral expansion in hypergraphs, demonstrating that triangles in high-dimensional random geometric graphs form expanding simplicial complexes of low polynomial degree.
New Notions and Constructions of Sparsification for Graphs and Hypergraphs
Explore innovative concepts and techniques for graph and hypergraph sparsification, advancing understanding of network structures and algorithms in computer science.
Integrality Gaps for Vertex Covers on Sparse Bernoulli Hypergraphs
Explore integrality gaps for vertex covers on sparse Bernoulli hypergraphs with insights from ETH Zurich researcher D. Dmitriev.
Quasipolynomial Bounds for Some Problems in Extremal Combinatorics
Explore quasipolynomial bounds in extremal combinatorics with Zander Kelley, examining key problems and recent advancements in this mathematical field.
Online Algorithms for Spectral Hypergraph Sparsification
Explore online algorithms for spectral hypergraph sparsification, focusing on space-efficient methods for handling streaming hyperedges and producing accurate sparsifiers.
Sparsification: Graphs, CSPs and Codes - Sublinear Graph Simplification
Explore graph sparsification, CSP compression, and code sparsification techniques. Learn about cutting-edge research in sublinear graph simplification and its applications to various domains.
Cut Sparsification and Succinct Representation of Submodular Hypergraphs
Explore cut sparsification of hypergraphs, focusing on submodular functions. Learn about new bounds, polynomial bounds, and succinct representation techniques for various submodular function families.
Finite Hypergraph Families with Rich Extremal Turan Constructions via Mixing Patterns
Explore finite hypergraph families and their extremal Turán constructions through mixing patterns. Gain insights into combinatorics and discrete structures from a renowned expert.
Hypertrees in Combinatorics and Graph Theory
Explore hypertrees with Professor Nati Linial, delving into combinatorics, algorithms, and their applications in computer science and mathematics.
A Proof of the Erdos-Faber-Lovasz Conjecture
Explore the recent proof of the Erdos-Faber-Lovasz conjecture and its generalization, delving into linear hypergraphs and chromatic index concepts.
Hypergraph Bipartite Turan Problems
Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.
Structures Robust Under Randomness - Probabilistic Combinatorics and Thresholds
Explore robustness of discrete system substructures under random subsampling, examining thresholds in random graphs and key conjectures in probabilistic combinatorics.
Hypergraph Bipartite Turan Problems
Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.
Toward a Density Corradi-Hajnal Theorem for Degenerate Hypergraphs - ICBS 2024
Explore density Corrádi-Hajnal theorem for degenerate hypergraphs, examining extremal constructions across intervals and characterizing them for graphs and specific nondegenerate hypergraphs.