Disk/band surface and spatial-graph homology

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Using disk/band surfaces, we investigate spatial-graph homology. A necessary and sufficient condition for spatial embeddings of a graph to be homologous is expressed in terms of disk/band surfaces. By this condition we can decide practically whether two given spatial embeddings are homologous or not. We equip the set of spatial-graph homology classes with an abelian group structure and give a method to calculate this group by using the condition above.

Original languageEnglish
Pages (from-to)173-191
Number of pages19
JournalTopology and its Applications
Volume69
Issue number2
Publication statusPublished - 1996 Dec 1
Externally publishedYes

Keywords

  • Disk/band surface
  • Spatial graph
  • Spatial-graph homology

ASJC Scopus subject areas

  • Geometry and Topology

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