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arxiv: 1510.03598 · v1 · pith:OMLVTBFInew · submitted 2015-10-13 · 🧮 math.CO

Self 2-distance graphs

classification 🧮 math.CO
keywords distancegraphsselfcommoncubiccycledetermineddiamond
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All finite simple self $2$-distance graphs with no $4$-cycle, diamond, or triangles with a common vertex are determined. Utilizing these results, it is shown that there is no cubic self $2$-distance graphs.

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