{"id":21170341,"url":"https://github.com/mslapek/augmentedtree","last_synced_at":"2025-07-05T23:02:57.111Z","repository":{"id":103342135,"uuid":"90723468","full_name":"mslapek/AugmentedTree","owner":"mslapek","description":"F# library implementing immutable augmented red-black trees.","archived":false,"fork":false,"pushed_at":"2017-05-09T08:47:17.000Z","size":20,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-01-21T10:51:02.789Z","etag":null,"topics":["algorithm","data-structure","fsharp","immutable","search-trees"],"latest_commit_sha":null,"homepage":null,"language":null,"has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"gpl-3.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/mslapek.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2017-05-09T08:47:14.000Z","updated_at":"2017-05-09T08:48:33.000Z","dependencies_parsed_at":"2023-07-07T18:31:16.184Z","dependency_job_id":null,"html_url":"https://github.com/mslapek/AugmentedTree","commit_stats":null,"previous_names":[],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/mslapek%2FAugmentedTree","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/mslapek%2FAugmentedTree/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/mslapek%2FAugmentedTree/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/mslapek%2FAugmentedTree/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/mslapek","download_url":"https://codeload.github.com/mslapek/AugmentedTree/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":243616832,"owners_count":20319965,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["algorithm","data-structure","fsharp","immutable","search-trees"],"created_at":"2024-11-20T15:58:16.273Z","updated_at":"2025-03-14T17:24:52.171Z","avatar_url":"https://github.com/mslapek.png","language":null,"readme":"# Augmented Tree\n\n**AugmentedTree** is F# library implementing immutable augmented red-black trees.\nThe structure `AugmentedTree` is designed to be a basis for other data structures\nand algorithms.\n\nAll basic operations take O(log *n*) running time under some conditions\ndescribed in bibliography.\n\n## Nomenclature\n\n**Key** is value, over which we perform search.\n\n**Attribute** is additional value attached to node, which is function\nof current node key and attributes of node children.\n\n## Bibliography\n\n* Description of augmented search trees [(lecture)](http://www.bowdoin.edu/~ltoma/teaching/cs231/fall05/Lectures/augtrees.pdf).\n\n* Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. 2009. *Introduction to Algorithms, Third Edition* (3rd ed.). The MIT Press. Chapter 14: Augmenting Data Structures.","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmslapek%2Faugmentedtree","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fmslapek%2Faugmentedtree","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fmslapek%2Faugmentedtree/lists"}