Sanming Zhou

activity

20162026

most citedPerfect codes in circulant graphs

47 citations · 126 across the 9 of their papers we have counts for

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2 papers · 1 filter

math.CO2024

Perfect codes in circulant graphs of degree $p^{l} - 1$

Xiaomeng Wang, Oriol Serra, Shou-Jun Xu +1

A perfect code in a graph is an independent set of the graph such that every vertex outside the set is adjacent to exactly one vertex in the set. A circulant graph is a Cayley grap…

math.CO2024

Stability of graph pairs involving cycles

Xiaomeng Wang, Shou-Jun Xu, Sanming Zhou

A graph pair $(Γ, Σ)$ is called stable if $\aut(Γ)\times\aut(Σ)$ is isomorphic to $\aut(Γ\timesΣ)$ and unstable otherwise, where $Γ \times Σ$ is the direct product of $Γ$ and $Σ$ . A…

Perfect codes in circulant graphs of degree pl−1

Stability of graph pairs involving cycles

Perfect codes in circulant graphs of degree $p^{l} - 1$