Guichard-Combinatorics-Graph-Theory · Problem 2

Graph Theory

Mathematics — Probability · directed-graphs-euler-circuit

Problem

A digraph has an Euler circuit if there is a closed walk that uses every arc exactly once. Show that a digraph with no vertices of degree 0 has an Euler circuit if and only if it is connected and d+(v)=d−(v)\mathrm{d}^+(v) = \mathrm{d}^-(v) for all vertices vv.

Related theory

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