Contractible transformations do not change the homology groups of graphs

DOI10.1016/0012-365X(94)90261-5zbMath0798.05027MaRDI QIDQ1318804

Alexander V. Ivashchenko

Publication date: 4 April 1994

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

zbMATH Keywords

homology groupscontractible transformations

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (18)

Some properties of contractible transformations on graphs ⋮ Dimension on discrete spaces ⋮ Collapsibility and homological properties of \(\mathfrak{I}\)-contractible transformations ⋮ Topological properties of the intersection graph of covers of \(n\)-dimensional surfaces ⋮ The energy of a simplicial complex ⋮ A definition of surfaces of \({\mathbb{Z}}^{3}\). A new 3D discrete Jordan theorem ⋮ A counterexample on contractible transformations on graphs ⋮ The digital Hopf construction ⋮ Minimal graphs for contractible and dismantlable properties ⋮ Path complexes and their homologies ⋮ On a cohomology of digraphs and Hochschild cohomology ⋮ Dimensional properties of graphs and digital spaces. ⋮ A Digital Version of the Kakutani Fixed Point Theorem for Convex-valued Multifunctions ⋮ Path homology theory of multigraphs and quivers ⋮ Contractibility and fixed point property: the case of Khalimsky topological spaces ⋮ Topological Properties of Event Structures ⋮ On endo-homology of complexes of graphs ⋮ Strong homotopy induced by adjacency structure

Cites Work

• Unnamed Item
• The coordinate representation of a graph and \(n\)-universal graph of radius 1
• Representation of smooth surfaces by graphs. Transformations of graphs which do not change the Euler characteristic of graphs

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