Title
Delineating Homology Generators in Graph Pyramids
Abstract
Computation of homology generators using a graph pyramid can significantly increase performance, compared to the classical methods. First results in 2D exist and show the advantages of the method. Generators are computed on the upper level of a graph pyramid. Top-level graphs may contain self loops and multiple edges, as a side product of the contraction process. Using straight lines to draw these edges would not show the full information: self loops disappear, parallel edges collapse. This paper presents a novel algorithm for correctly visualizing graph pyramids, including multiple edges and self loops which preserves the geometry and the topology of the original image. New insights about the top-down delineation of homology generators in graph pyramids are given.
Year
DOI
Venue
2008
10.1007/978-3-540-85920-8_70
CIARP
Keywords
Field
DocType
graphs pyramids,pyramid drawing,homology generators
Strength of a graph,Topology,Multigraph,Line graph,Hypercube graph,Computer science,Mixed graph,Multiple edges,Complement graph,Topological graph
Conference
Volume
ISSN
Citations 
5197
0302-9743
2
PageRank 
References 
Authors
0.47
7
4
Name
Order
Citations
PageRank
Mabel Iglesias Ham1224.91
Adrian Ion222221.11
Walter G. Kropatsch3896152.91
Edel Garcia-Reyes49512.84