Lectures related to Edge Elimination and Orientation in Graphs

Graphs and Networks: Basics and Applications

Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.

Convex Functions

Covers the properties and operations of convex functions.

Function Properties: Injective, Surjective, Bijective

Explains injective, surjective, and bijective functions using examples and graphs.

Functions: Real Numbers and Graphs

Covers functions of real numbers, graphing, and affine functions.

Level Curves and Graphs of Functions

Covers level curves and graphs of functions in two and three dimensions.

Networked Control Systems: Convergence Rate and Digraphs

Explores convergence rate in networked control systems and consensus in digraphs, emphasizing the challenges of computing Pess(A) and weight assignment.

Bipartite Graphs: Independent Sets

Explores bipartite graphs, independent sets, Shearer's Lemma, labeled graphs, and entropy analysis.

Minimum Spanning Trees: Prim's Algorithm

Explores Prim's algorithm for minimum spanning trees and introduces the Traveling Salesman Problem.

Temporal Summation Analysis

Covers the analysis of temporal summations in bio mechanics.