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This course examines classical and modern developments in graph theory and additive combinatorics, with a focus on topics and themes that connect the two subjects.
We invite you to a fascinating journey into Graph Theory — an area which connects the elegance of painting and the rigor of mathematics; is simple, but not unsophisticated. Graph Theory gives us, both an easy way to pictorially represent many major math…
Strengthen your skills in algorithmics and graph theory, and gain experience in programming in Python along the way.
This course introduces in an elementary way some basic knowledge and the primary methods in Graph Theory.
Syllabus: ) Graph Theory Introduction. ) Problems in Graph Theory. ) Depth First Search Algorithm. ) Breadth First Search Algorithm. ) Breadth First Search grid shortest path. ) Topological Sort Algorithm. ) Shortest/Longest path on a Directed Acyclic Gr…
Syllabus: Making Sense of Coronavirus with Graph Theory.Graph Theory 1: Handshaking Lemma.Stand 6 ft apart! Social Distancing and Graph Theory.Graph Theory 2: Eulerian Paths & Circuits.Graph Theory 3: Hamiltonian Paths & Ore's Theorem.Graph Theor…
Syllabus: Graph theory vocabulary . Drawing a street network graph. Drawing a graph for bridges . Dijkstra's algorithm. Dijkstra's algorithm on a table. Euler Paths. Euler Circuits. Determine if a graph has an Euler circuit. Bridges graph - loo…
Syllabus: Introduction Counting patterns in some exponential time Overview FixedParameter Tractability Galactic Algorithms Disjoint General Graph Goals Schema Algorithm Daniel Minors and topological minors Three key players
Syllabus: Introduction Kcut Algorithm Graph Theory Algorithms Alternative estimator Questions Weighted min cut problem Question Shaitaan Lower Bound Question Time
Syllabus: Introduction Recap K Operator Theorem eigenvectors Notation Expansion corollaries
Syllabus: Introduction How small can the quadratic form be Scaling considerations Natural scaling Intuition for maximizing quadratic form Proof Comments
Syllabus: Introduction Spectral Graph Theory Functions Absolute Key Quadratic Form Examples
Advanced Graph Theory focuses on problem solving using the most important notions of graph theory. Students will have intimate knowledge about how the graph theory play an important role to solve the technology driven and research oriented problems. Comp…
Graph Theory Algorithms.Overview of algorithms in Graph Theory.Identifying Isomorphic Trees. Lowest Common Ancestor (LCA) Problem. Eulerian Paths and Circuits. Unweighted Bipartite Matching. Mice and Owls problem.
Intro to Discrete Math - Welcome to the Course!. Intro to Sets - Examples, Notation & Properties. Set-Roster vs Set-Builder notation. Cartesian Product of Two Sets A x B. Relations between two sets - Reflexive, Symmetric, and Transitive.
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