Double Factorial: Introduction to the Alternate Factorial
Explore the double factorial (!!), its unique properties, and applications in graph theory. Discover how this alternate factorial notation skips every other number while respecting parity.
Introducing Graph Theory
Explore fundamental concepts in graph theory, from cycle and planar graphs to Eulerian and Hamiltonian graphs, enhancing your understanding of this mathematical field.
Math in Society
Explore voting systems, fair division, graph theory, growth models, financial math, statistics, and probability in this comprehensive applied mathematics course.
Precalculus Review - Functions
Comprehensive review of function concepts, from basic definitions to advanced topics like exponentials and logarithms. Covers notation, domain, graphing, arithmetic, composition, and inverses.
Graph Theory Full Course for Beginners
Comprehensive introduction to graph theory, covering key concepts, algorithms, and applications. Ideal for beginners seeking a solid foundation in this fundamental area of discrete mathematics.
The Moessner Miracle - Why Wasn't This Discovered for Over 2000 Years?
Explore the fascinating Moessner Miracle, a mathematical gem discovered 70 years ago. Learn proofs, amazing facts, and connections to other mathematical concepts in this accessible and engaging presentation.
Discrete Math - Sets, Logic, Proofs, Probability, Graph Theory
Comprehensive exploration of discrete mathematics, covering logic, sets, proofs, probability, and graph theory with practical examples and step-by-step problem-solving techniques.
Bite-Sized Neo4j for Data Scientists
Learn Neo4j for data science: connect to databases, use Python drivers, write Cypher queries, import data, perform graph analytics, and compare with SQL databases.
Data Visualization GUIs with Dash and Python
Learn to create interactive data visualization interfaces using Dash and Python, covering dynamic graphs, live updates, sentiment analysis, and app deployment for effective data presentation.
Graphs, Trees, and Spreading Disease - MIT 18.S191 Fall 2020 Week 5
Explore graph theory, tree traversal, and epidemic modeling using Julia programming, with hands-on demonstrations and practical applications in network analysis and disease spread simulation.
Graph and Hypergraph Sparsification - Luca Trevisan
Explore graph and hypergraph sparsification techniques with Luca Trevisan, covering spectral definitions, irregular graphs, and unweighted graphs. Gain insights into advanced discrete mathematics concepts.
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.
Inverse Problems for Quantum Graphs - Pavel Kurasov
Explore inverse problems for quantum graphs, covering Ambartsumian-type results, trace formulas, and implications for various graph structures. Gain insights into local inverse problems and explicit formulas.
Extreme Eigenvalue Distributions of Sparse Random Graphs - Jiaoyang Huang
Explore extreme eigenvalue distributions in sparse random graphs, covering empirical distributions, edge expansion, routing graphs, and universal properties. Gain insights into mathematical physics and graph theory.
Sparse Matrices in Sparse Analysis - Anna Gilbert
Explore sparse matrices in compressive sensing, focusing on expander graphs and their applications. Learn about metric repair scenarios and algorithms for sparse signal recovery.
X-Ramanujan Graphs - Ex Uno Plures
Explore X-Ramanujan graphs with Ryan O'Donnell, covering additive lifts, generic graphs, eigenvalues, and matching polynomials in this advanced computer science and discrete mathematics seminar.
Universality of Random Graphs - Gal Kronenberg
Explore 2-universality in random graphs, covering monotone properties, age universality, probability thresholds, and expansion properties with proof techniques and examples.
Understanding the Floor Function and Greatest Integer Function in Mathematics
Explore the fascinating floor function in mathematics, from its graphical representation to key properties and real-world applications in this engaging mathematical deep dive.
Optimal Topological Simplification of Surfaces
Algorithmes et résultats de complexité pour simplifier la topologie des surfaces de manière optimale, en utilisant des courbes et graphes les plus courts possible.
Stability of Reeb Ordering Method in the Framework of Pospaces
Explores stability of Reeb ordering in pospaces, introducing new tools for manipulating posets as graph-like objects and proving stability using interleaving distance among order-compatible topological spaces.
Representation of Graphs - Adjacency List, Adjacency Matrix and Other Representations
Explore graph representation methods including adjacency lists and matrices. Learn efficient ways to store and manipulate graph structures for various applications.