Planar graph algorithms constitute a pivotal area in theoretical computer science, addressing problems where graphs can be drawn on a plane without edge crossings. Among the myriad challenges in this ...

A graph is planar if it can be drawn in the plane in such a way that no edges intersect, except of course at a common endvertex. Planar graphs corresponding to the regular polyhedra and other ...

Abstract: We give an O(n log 3 n) algorithm that, given an n-node directed planar graph with arc capacities, a set of source nodes, and a set of sink nodes, finds a maximum flow from the sources to ...

This is a preview. Log in through your library . Abstract The term "minimal nonplanar subgraph" of a graph G refers to a nonplanar subgraph N of G having the property that each proper subgraph of N is ...

Abstract: Locating graph vertices on a plane problem is considered in this paper. This problem is directly related to the engineering problem arising in a very large-scale integrated circuits topology ...

Lombardi drawings are drawings of graphs in the plane so that every edge is represented by a circular arc and every vertex has perfect angular resolution. The concept is inspired by artist Mark ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

This repository contains the implementation of a real-time bit performance monitoring framework based on a Dual-Dimensional Graph Attention Network (DD-GAT) with multivariate time-series drilling data ...