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Computing and Drawing Isomorphic Subgraphs

Authors: Sabine Bachl; Franz-Josef Brandenburg;

Computing and Drawing Isomorphic Subgraphs

Abstract

The isomorphic subgraph problem is finding two disjoint subgraphs of a graph which coincide on at least k edges. Then the graph partitions into a large subgraph, its copy and a remainder. The problem resembles the NP-hard largest common subgraph problem. In [1,2] it has been shown that the isomorphic subgraph problem is NP-hard, even for restricted instances. In this paper we present a greedy heuristic for the approximation of large isomorphic subgraphs and introduce a spring algorithm which preserves isomorphic subgraphs and displays them as copies of each other. The heuristic has been tested extensively on four independent test suites. The drawing algorithm yields nice drawings which cannot be obtained by standard spring algorithms.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
bronze