Derek Kitson

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20232025

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math.CO2025

Algebraic connectivity in normed spaces

James Cruickshank, Sean Dewar, Derek Kitson

The algebraic connectivity of a graph $G$ in a finite dimensional real normed linear space $X$ is a geometric counterpart to the Fiedler number of the graph and can be regarded as…

math.CO2023

Block-and-hole graphs: Constructibility and $(3, 0)$ -sparsity

Bryan Gin-ge Chen, James Cruickshank, Derek Kitson

We show that minimally 3-rigid block-and-hole graphs, with one block or one hole, are characterised as those which are constructible from $K_{3}$ by vertex splitting, and also, as th…

Algebraic connectivity in normed spaces

Block-and-hole graphs: Constructibility and (3,0)-sparsity

Block-and-hole graphs: Constructibility and $(3, 0)$ -sparsity