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ON DISTANCE-$ I $-GRAPHS OF DISTANCE-REGULAR GRAPHS
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International Journal of Computational Geometry & Applications, 1991
A new necessary condition for a graph G to be the visibility graph of a simple polygon is given: each 3-connected component of G must have a vertex ordering in which every vertex is adjacent to a previous 3-clique. This property is used to give an algorithm for the distance visibility graph problem: given an edge-weighted graph G, is it the visibility
Collette R. Coullard, Anna Lubiw
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A new necessary condition for a graph G to be the visibility graph of a simple polygon is given: each 3-connected component of G must have a vertex ordering in which every vertex is adjacent to a previous 3-clique. This property is used to give an algorithm for the distance visibility graph problem: given an edge-weighted graph G, is it the visibility
Collette R. Coullard, Anna Lubiw
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2020
In this article, our ultimate goal is to transform a graph’s adjacency matrix into a distance matrix. Because cluster density is not observable prior to the actual clustering, our goal is to find a distance whose pairwise minimization will lead to densely connected clusters.
Pierre Miasnikof +4 more
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In this article, our ultimate goal is to transform a graph’s adjacency matrix into a distance matrix. Because cluster density is not observable prior to the actual clustering, our goal is to find a distance whose pairwise minimization will lead to densely connected clusters.
Pierre Miasnikof +4 more
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Distance Graphs on the Integers
Combinatorics, Probability and Computing, 2005We consider several extremal problems concerning representations of graphs as distance graphs on the integers. Given a graph $G=(V,E)$, we wish to find an injective function $\phi:V\to{\mathbb Z}^+=\{1,2,\dots\}$ and a set ${\mathcal D}\subset{\mathbb Z}^+$ such that $\{u,v\}\in E$ if and only if $|\phi(u)-\phi(v)|\in{\mathcal D}$. Let $s(n)$ be the
Mike Ferrara +2 more
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