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

Fingerprint

Spatial Graph
Homology
Abelian group
Necessary Conditions
Calculate
Sufficient Conditions
Graph in graph theory
Class

Keywords

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

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Disk/band surface and spatial-graph homology. / Yasuhara, Akira.

In: Topology and its Applications, Vol. 69, No. 2, 01.12.1996, p. 173-191.

Research output: Contribution to journalArticle

@article{e324f522174b49f392ba8705ae1f1c19,
title = "Disk/band surface and spatial-graph homology",
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.",
keywords = "Disk/band surface, Spatial graph, Spatial-graph homology",
author = "Akira Yasuhara",
year = "1996",
month = "12",
day = "1",
language = "English",
volume = "69",
pages = "173--191",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Disk/band surface and spatial-graph homology

AU - Yasuhara, Akira

PY - 1996/12/1

Y1 - 1996/12/1

N2 - 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.

AB - 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.

KW - Disk/band surface

KW - Spatial graph

KW - Spatial-graph homology

UR - http://www.scopus.com/inward/record.url?scp=0042554523&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042554523&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0042554523

VL - 69

SP - 173

EP - 191

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

IS - 2

ER -