Constructing Eulerian trails in a Graph

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Revision as of 10:54, 10 October 2022 by Admin (talk | contribs) (Created page with "== Problem Description== In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices). Similarly, an Eulerian circuit or Eulerian cycle is an Eulerian trail that starts and ends on the same vertex. == Bounds Chart == 350px == Step Chart == 350px == Impr...")
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Problem Description

In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices). Similarly, an Eulerian circuit or Eulerian cycle is an Eulerian trail that starts and ends on the same vertex.

Bounds Chart

Constructing Eulerian trails in a GraphBoundsChart.png

Step Chart

Constructing Eulerian trails in a GraphStepChart.png

Improvement Table

Complexity Classes Algorithm Paper Links Lower Bounds Paper Links
Exp/Factorial
Polynomial > 3
Cubic
Quadratic
nlogn
Linear
logn