E. Evans

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math.CO2017

Resistance distance in straight linear 2-trees

Wayne Barrett, Emily J. Evans, Amanda E. Francis

We consider the graph $G_{n}$ with vertex set $V (G_{n}) = {1, 2, \dots, n}$ and ${i, j} \in E (G_{n})$ if and only if $0 < ∣ i - j ∣ \leq 2$ . We call $G_{n}$ the straight linear 2-tree on $n…

math.CO2017

Resistance distance in bent linear 2-trees

Wayne Barrett, Emily J. Evans, Amanda E. Francis

In this note we consider the bent linear 2-tree and provide an explicit formula for the resistance distance $r_{G_{n}} (1, n)$ between the first and last vertices of the graph. We call…