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arxiv: 1706.01609 · v1 · pith:RKXZSB6Znew · submitted 2017-06-06 · 💻 cs.DM · math.CO

An Upper Bound of 7n/6 for the Minimum Size 2EC on Cubic 3-Edge Connected Graphs

classification 💻 cs.DM math.CO
keywords connectededgesizecubicminimumallowsboundboyd
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In this paper, we study the minimum size 2-edge connected spanning subgraph problem (henceforth 2EC) and show that every 3-edge connected cubic graph G=(V, E), with n=|V| allows a 2EC solution for G of size at most 7n/6, which improves upon Boyd, Iwata and Takazawa's guarantee of 6n/5.

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