Fully Dynamic No-Back-Edge-Traversal Forest via 2D-Range Queries

Author:

Lee Kuo-Kai1,Hon Wing-Kai1ORCID,Liao Chung-Shou1ORCID,Sadakane Kunihiko2,Tsai Meng-Tsung3ORCID

Affiliation:

1. National Tsing Hua University, Taiwan

2. Tokyo University, Japan

3. Academia Sinica, Taiwan

Abstract

Orthogonal range search is ubiquitous nowadays, with natural applications in databases, data mining, and text indexing. Very recently, yet another application was discovered, which is to maintain a DFS forest in a dynamic graph. In this paper, we want to extend the above recent study, by applying orthogonal range search to efficient maintenance of a BFS-like forest, called no-back-edge-traversal (NBET) forest, which refers to a spanning forest obtained from a traversal that does not create any back edge. The study of such a problem is motivated by the fact that NBET forest can be used as a strong certificate of 2-connectivity of an undirected graph, which is more general than a spanning forest obtained from a scan-first search traversal.

Funder

Taiwan National Science and Technology Council

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Computational Mathematics,Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science

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