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arXiv · 1705.08724

Hajós' cycle conjecture for small graphs

Irene Heinrich·Marco V. Natale·Manuel Streicher
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Abstract

Hajós' conjecture states that an Eulerian graph of order n can be decomposed into at most (n-1)/2 edge-disjoint cycles. We describe preprocessing steps, heuristics and integer programming techniques that enable us to verify Hajós' conjecture for all Eulerian graphs with up to twelve nodes.

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Irene Heinrich, Marco V. Natale, Manuel Streicher. 2017-05-24. Hajós' cycle conjecture for small graphs. https://arxiv.org/abs/1705.08724

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