2.4 Irreducible Matrices Reducible is reducible if there is a permutation P such that where A11 and A22 are square matrices each of size at least one; otherwise A is called…
Chapter 14 Overview of Graph Theory and Least-Cost Paths Chapter 14 Overview of Graph Theory and Least-Cost Paths Introduction Comms networks can be represented by graphs…
All-Pairs Shortest Paths Find the distance between every pair of vertices in a weighted graph G. All-Pairs Shortest Paths We can make n calls to Dijkstra’s algorithm O(n(n+m)log…
Spectral Analysis based on the Adjacency Matrix of Network Data Leting Wu Fall 2009 Mathematical Representation of Networks Data Adjacency Matrix A If there is a link between…
Stack and Queues Graph Introduction to Graphs Graphs are data structures rather like trees. In fact, in a mathematical sense, a tree is a kind of graph. In computer programming,…
Incidentor coloring: methods and results A.V. Pyatkin "Graph Theory and Interactions" Durham, 2013 4-color problem Reduction to the vertex coloring Vertex coloring…