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Graph theory - basic definitions - Algorithmist

    https://algorithmist.com/wiki/Graph_Theory_-_basic_definitions
    Dec 13, 2019 · Graph types []. A finite simple graph is an ordered pair = [,], where is a finite set and each element of is a 2-element subset of V. . Unless otherwise stated throughout this article graph refers to a finite simple graph.There are several variations, for instance we may allow to be infinite. We define other graph …

Graph Theory: 23. Euler Trails and Euler Tours - YouTube

    https://www.youtube.com/watch?v=1V_6nUUNoms
    Oct 08, 2013 · Here I provide the definition of Euler trails and Euler tours in a graph. Then I explain a proof that a graph has an Euler tour if and only if every vertex h...Author: Sarada Herke

graph theory Problems & Applications Britannica

    https://www.britannica.com/topic/graph-theory
    Graph theory, branch of mathematics concerned with networks of points connected by lines. The subject of graph theory had its beginnings in recreational math problems (see number game), but it has grown into a significant area of mathematical research, with applications in chemistry, operations research, social sciences, and computer science.

Walks, Trails, Paths, Cycles and Circuits - Mathonline

    http://mathonline.wikidot.com/walks-trails-paths-cycles-and-circuits
    Definition: A Circuit is a closed trail. That is, a circuit has no repeated edges but may have repeated vertices. That is, a circuit has no repeated edges but may have repeated vertices. An example of a circuit can be seen below.

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