We present a local algorithm to construct such a connected plane graph. We prove algorithm correctness under redundancy and coexistence assumption.
A graph is said to satisfy redundancy and coexistence property, if redundancy is satisfied for all its intersecting edges and coexistence for all its triangles ...
In this work we develop the acyclic redundancy condition. This is a novel graph class with only one property that assures the existence of a connected plane ...
Missing: Coexistence | Show results with:Coexistence
We present a local algorithm to construct such a connected plane graph. We prove algorithm correctness under redundancy and coexistence assumption. Furthermore, ...
Example of an RCG graph, satisfying redundancy on the left and coexistence on the right. A graph satisfies the (proper) redundancy property (PR) if for all ...
This work studies graphs obeying redundancy and coexistence, and demonstrates that so far existing solutions cannot guarantee connectivity of the ...
Apr 25, 2024 · Local Construction of Connected Plane Subgraphs in Graphs Satisfying Redundancy and Coexistence. LAGOS 2021: 108-117; 2020. [c2]. view.
We present a local algorithm to construct such a connected plane graph. We prove algorithm correctness under redundancy and coexistence assumption. Furthermore, ...
The concept means in general to construct the local view of nodes on a planar subgraph only when required with the least possible number of messages.
Nov 29, 2023 · For graphs satisfying the redundancy and coexistence property the CP algorithm constructs a connected intersection-free subgraph G′ = (V,F). The ...