Aug 17, 2020 · Abstract:Motivated by the fact that in a space where shortest paths are unique, no two shortest paths meet twice, we study a question posed ...
Feb 14, 2021 · The idea is to start with a sufficiently large complete graph and subdivide every edge exactly twice. The Crossing Lemma [8] can be used to show ...
Abstract. Motivated by the fact that in a space where shortest paths are unique, no two shortest paths meet twice, we study a question posed.
Two adjacent edges ux and uy, both subdivided t times, and the shortest path between the “far” endpoints x0 and y0 of the central segments of [ux] and [uy]. 129.
An unweighted graph is geodetic if there is a unique shortest path between every pair of vertices. Trivial examples of geodetic graphs are trees and complete ...
Oct 22, 2024 · Motivated by the fact that in a space where shortest paths are unique, no two shortest paths meet twice, we study a question posed by Greg ...
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We answer this question in the negative by showing the existence of geodetic graphs that require some pair of shortest paths to cross at least four times. The ...
On the positive side weshow that geodetic graphs admit a philogeodetic drawing if both the diameter and thedensity are very low.Special Issue on the 28th Int.
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Motivated by the fact that in a space where shortest paths are unique, no two shortest paths meet twice, we study a question posed by Greg Bodwin: Given a ...