Handles in graphs and sphere bundles over \(S^ 1\)

DOI10.1016/S0195-6698(87)80006-9zbMath0618.05023OpenAlexW2041960293MaRDI QIDQ1089000

Gaetano Volzone, Carlo Gagliardi

Publication date: 1987

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(87)80006-9

zbMATH Keywords

coloured graphscombinatorial handlen-dimensional manifold

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)

Related Items

Representing products of polyhedra by products of edge‐colored graphs, Generalized handles in graphs and connected sums of manifolds, Cataloguing PL 4-manifolds by gem-complexity, Combinatorial study of graphs arising from the Sachdev-Ye-Kitaev model, Combinatorial handles and manifolds with boundary, Regular genus and gem-complexity of some mapping tori

Cites Work

• Recognizing a 3-dimensional handle among 4-coloured graphs
• Crystallisation moves
• Graphic matroids, shellability and the Poincaré conjecture
• A simple proof of Gagliardi's handle recognition theorem
• Graph-encoded 3-manifolds
• A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
• The Only Genus Zero n-Manifold is S n
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