Constructing Eulerian trails in a Graph

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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