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Some properties of contractible transformations on graphs

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Publication:1336692
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DOI10.1016/0012-365X(94)90021-3zbMath0811.05064WikidataQ127097015 ScholiaQ127097015MaRDI QIDQ1336692

Alexander V. Ivashchenko

Publication date: 8 May 1995

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

contractible transformations


Mathematics Subject Classification ID

Graph theory (05C99)


Related Items (8)

Collapsibility and homological properties of \(\mathfrak{I}\)-contractible transformations ⋮ A counterexample on contractible transformations on graphs ⋮ The digital Hopf construction ⋮ Minimal graphs for contractible and dismantlable properties ⋮ Classification of digital \(n\)-manifolds ⋮ Dimensional properties of graphs and digital spaces. ⋮ Derived neighborhoods and frontier orders ⋮ Strong homotopy induced by adjacency structure




Cites Work

  • Computer graphics and connected topologies on finite ordered sets
  • A Jordan surface theorem for three-dimensional digital spaces
  • Representation of smooth surfaces by graphs. Transformations of graphs which do not change the Euler characteristic of graphs
  • Contractible transformations do not change the homology groups of graphs
  • Parallel concepts in graph theory
  • Digital surfaces




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