Structural properties of \(m\)-ary \(n\)-dimensional hypercubes. (English) Zbl 07924274
Hoffman, Frederick (ed.) et al., Combinatorics, graph theory and computing. Proceedings of the 52nd Southeastern international conference, SEICCGTC 2021, virtual, Boca Raton, FL, USA, March 8–12, 2021. Singapore: Springer. Springer Proc. Math. Stat. 448, 141-151 (2024).
Summary: The \(m\)-ary \(n\)-dimensional hypercube is a generalization of the hypercube when \(m=2\). In this paper, we study the structural properties of \(m\)-ary \(n\)-dimensional hypercube by considering the structure of the resulting graph when up to approximately \(3n(m-1)\) vertices are deleted from it.
For the entire collection see [Zbl 1540.05004].
For the entire collection see [Zbl 1540.05004].
MSC:
| 05C82 | Small world graphs, complex networks (graph-theoretic aspects) |
| 05C40 | Connectivity |
| 68R10 | Graph theory (including graph drawing) in computer science |
References:
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