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Weisfeiler Leman graph isomorphism test

Heuristic test for graph isomorphism

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Record originEnglish Wikipedia
Text licenseCC BY-SA 4.0
Source revisionJul 30, 2026
Entity authoritySource title only
Source-derived summary

In graph theory, the Weisfeiler Leman graph isomorphism test is a heuristic test for the existence of an isomorphism between two graphs G and H. It is a generalization of the color refinement algorithm and has been first described by Weisfeiler and Leman in 1968. The original formulation is based on graph canonization, a normal form for graphs, while there is also a combinatorial interpretation in the spirit of fibrations of graphs / color refinement and a connection to logic.

Editorial summary

This brief starts where responsible research should: with the source description of “Weisfeiler Leman graph isomorphism test” as heuristic test for graph isomorphism. Everything that follows is an evidence route, not borrowed authority.

Editorial reviewA practical starting point whose main value is the path it opens into stronger specialist and primary sources. The current lead gives the account dated anchors—1968—that can be checked directly. The selected authority fields contribute no independent date. The account is most persuasive where Weisfeiler, Leman and graph can be independently traced.
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The subject matters to the general reference register because the source frames it as heuristic test for graph isomorphism. Its deeper value depends on whether names, dates, institutions and citations support that framing.

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The citation trail is more important than the brevity of the summary: it shows where individual claims can be examined in context. The source revision retrieved here is dated Jul 30, 2026. The first chronological checks are 1968.

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Source & attribution

This entry incorporates text from “Weisfeiler Leman graph isomorphism test” 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.