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Hamiltonian decomposition

Decomposition of a graph into hamiltonion cycles

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Record originEnglish Wikipedia

Text licenseCC BY-SA 4.0

Source revisionJun 23, 2026

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Source-derived summary

In graph theory, a branch of mathematics, a Hamiltonian decomposition of a given graph is a partition of the edges of the graph into Hamiltonian cycles. Hamiltonian decompositions have been studied both for undirected graphs and for directed graphs.

In the undirected case a Hamiltonian decomposition can also be described as a 2-factorization of the graph such that each factor is connected.

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This brief starts where responsible research should: with the source description of “Hamiltonian decomposition” as decomposition of a graph into hamiltonion cycles. Everything that follows is an evidence route, not borrowed authority.

Editorial reviewA concise reference frame for defining the subject, testing terminology and identifying the institution closest to the evidence. The current 62-word lead offers orientation but no explicit four-digit date, so chronology should not be assumed. The selected authority fields contribute no independent date. The account is most persuasive where Hamiltonian, decomposition and Decomposition can be independently traced.

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The subject matters to the general reference register because the source frames it as decomposition of a graph into hamiltonion cycles. Its deeper value depends on whether names, dates, institutions and citations support that framing.

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Vocabulary and entity names are the principal evidence signals here, because they determine the precision of every later search. The source revision retrieved here is dated Jun 23, 2026.

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Hamiltonian decomposition history →Hamiltonian decomposition primary sources →Hamiltonian decomposition archive →Hamiltonian research →decomposition research →Decomposition research →graph research →

Source & attribution

This entry incorporates text from “Hamiltonian decomposition” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.