A simple Havel-Hakimi type algorithm to realize graphical degree sequences of directed graphs (Q976717)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple Havel-Hakimi type algorithm to realize graphical degree sequences of directed graphs |
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A simple Havel-Hakimi type algorithm to realize graphical degree sequences of directed graphs (English)
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16 June 2010
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Summary: One of the simplest ways to decide whether a given finite sequence of positive integers can arise as the degree sequence of a simple graph is the greedy algorithm of Havel and Hakimi. This note extends their approach to directed graphs. It also studies cases of some simple forbidden edge-sets. Finally, it proves a result which is useful to design an MCMC algorithm to find random realizations of prescribed directed degree sequences.
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network modeling
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directed graphs
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degree sequences
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greedy algorithm
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