6 papers
ptimal Distributed Maximum Flow Approximation in Undirected Planar Graphs
Yaseen Abd-Elhaleem, Michal Dory, Oren Weimann
Persistent efforts in recent years have been devoted to devising distributed algorithms for fundamental optimization problems in planar graphs. In particular, for Single-Source Sho…
A Tight Bound for Facial Distance Patterns in Planar Graphs
Viktor Fredslund-Hansen, Shay Mozes, Oren Weimann
Let be an undirected unweighted planar graph and let be the vertices of a designated face, listed in cyclic order. Consider a vector that stores the dis…
A Simple Distributed Deterministic Planar Separator
Yaseen Abd-Elhaleem, Michal Dory, Oren Weimann
A balanced separator of a graph is a set of vertices whose removal disconnects the graph into connected components that are a constant factor smaller than . Lipton and Tarja…
Distributed Maximum Flow in Planar Graphs
Yaseen Abd-Elhaleem, Michal Dory, Merav Parter +1
The dual of a planar graph is a planar graph that has a vertex for each face of and an edge for each pair of adjacent faces of . The profound relationship between…
Ãptimal Fault-Tolerant Labeling for Reachability and Approximate Distances in Directed Planar Graphs
Itai Boneh, Shiri Chechik, Shay Golan +2
We present a labeling scheme that assigns labels of size to the vertices of a directed weighted planar graph , such that for any fixed from the lab…
Faster Construction of a Planar Distance Oracle with Ã(1) Query Time
Itai Boneh, Shay Golan, Shay Mozes +2
We show how to preprocess a weighted undirected -vertex planar graph in time, such that the distance between any pair of vertices can then be reported in $\t…