Generalized handles in graphs and connected sums of manifolds

DOI10.1007/BF01223264zbMath0673.57022OpenAlexW2087377244MaRDI QIDQ1120858

Alberto Cavicchioli

Publication date: 1987

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01223264

zbMATH Keywords

manifoldcrystallizationscombinatorial handlecancelling and cutting a generalized handleconnected sum decompositions of PL-manifoldshandles in \((n+1)\)-coloured graphs

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Coloring of graphs and hypergraphs (05C15) Graph theory (05C99) PL-topology (57Q99)

Cites Work

• Recognizing a 3-dimensional handle among 4-coloured graphs
• A simple proof of Gagliardi's handle recognition theorem
• Combinatorics of orientation reversing polygons
• Handles in graphs and sphere bundles over \(S^ 1\)
• A graph-theoretical representation of PL-manifolds -- a survey on crystallizations
• Unknotting combinatorial balls
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