Downloads provided by UsageCountsEnumeration of labelled 4‐regular planar graphs
Copyright policy ) Noy Serrano, Marcos; Requile, Clement; Rué Perna, Juan José;
Enumeration of labelled 4‐regular planar graphs
We present the first combinatorial scheme for counting labelled 4-regular planar graphs through a complete recursive decomposition. More precisely, we show that the exponential generating function of labelled 4-regular planar graphs can be computed effectively as the solution of a system of equations, from which the coefficients can be extracted. As a byproduct, we also enumerate labelled 3-connected 4-regular planar graphs, and simple 4-regular rooted maps.
- Freie Universität Berlin Germany
- Universitat Politècnica de Catalunya Spain
- TU Wien Austria
- Berlin Mathematical School Germany
- Universitat Polite`cnica de Catalunya Spain
Àrees temàtiques de la UPC::Matemàtiques i estadística, Exact enumeration problems, generating functions, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Planar graphs, Classificació AMS::05 Combinatorics::05C Graph theory, Enumeration in graph theory, exponential generating function, planar graphs, Planar graphs; geometric and topological aspects of graph theory, Graph labelling (graceful graphs, bandwidth, etc.), generating functions, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), :05 Combinatorics::05C Graph theory [Classificació AMS], graph enumeration
Àrees temàtiques de la UPC::Matemàtiques i estadística, Exact enumeration problems, generating functions, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Planar graphs, Classificació AMS::05 Combinatorics::05C Graph theory, Enumeration in graph theory, exponential generating function, planar graphs, Planar graphs; geometric and topological aspects of graph theory, Graph labelling (graceful graphs, bandwidth, etc.), generating functions, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), :05 Combinatorics::05C Graph theory [Classificació AMS], graph enumeration
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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