ON THE SECOND HOMOTOPY GROUP OF CERTAIN SIMPLICIAL COMPLEXES AND SOME COMBINATORIAL APPLICATIONS

DOI10.1093/qmath/32.2.225zbMath0466.57004OpenAlexW2021365509MaRDI QIDQ3918756

Mark A. Ronan

Publication date: 1981

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/32.2.225

zbMATH Keywords

second homotopy grouprank 3 diagram geometrieslocally homogeneous graphsminimal circuit diagramconnected, 2-dimensional indexed complex

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Combinatorial aspects of finite geometries (05B25) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Related Items (13)

Large random simplicial complexes, II; the fundamental group ⋮ Covering projections of graphs preserving links of vertices and edges ⋮ Unnamed Item ⋮ Bounding the size of certain rank 3 geometries with designs as rank 2 residues ⋮ Geometry and topology of random 2-complexes ⋮ A quarry of geometries ⋮ Unnamed Item ⋮ The asphericity of random 2‐dimensional complexes ⋮ Locally homogeneous graphs from groups ⋮ Wrapping polygons in polygons ⋮ Regular combinatorial maps ⋮ On the geometry of Baer subplanes in \(PG(2,4)\) ⋮ Covering spaces of locally homogeneous graphs

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