Optimal algorithms for finding nearest common ancestors in dynamic trees:
Abstract: "We consider the problem of finding the nearest common ancestor of two given nodes x and y (denoted by nca(x, y)) in a collection of dynamic rooted trees. Interspersed with the nca queries are on-line commands link(x, y) where x but not necessarily y is a tree root. The effect of a co...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kobenhavn
1995
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| Series: | Datalogisk Institut <København>: DIKU-Rapport
1995,30 |
| Subjects: | |
| Summary: | Abstract: "We consider the problem of finding the nearest common ancestor of two given nodes x and y (denoted by nca(x, y)) in a collection of dynamic rooted trees. Interspersed with the nca queries are on-line commands link(x, y) where x but not necessarily y is a tree root. The effect of a command link(x, y) is to combine the trees containing x and y by making y the parent of x. We present an optimal pointer machine algorithm which performs n link and m nca in time O(n + mloglogn)." |
| Physical Description: | 13 S. |
Staff View
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| 520 | 3 | |a Abstract: "We consider the problem of finding the nearest common ancestor of two given nodes x and y (denoted by nca(x, y)) in a collection of dynamic rooted trees. Interspersed with the nca queries are on-line commands link(x, y) where x but not necessarily y is a tree root. The effect of a command link(x, y) is to combine the trees containing x and y by making y the parent of x. We present an optimal pointer machine algorithm which performs n link and m nca in time O(n + mloglogn)." | |
| 650 | 4 | |a Computational complexity | |
| 650 | 4 | |a Computer algorithms | |
| 650 | 4 | |a Trees (Graph theory) | |
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Record in the Search Index
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| author | Alstrup, Stephen |
| author_facet | Alstrup, Stephen |
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| id | DE-604.BV011046460 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:03:07Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007397392 |
| oclc_num | 38525447 |
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| physical | 13 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| series | Datalogisk Institut <København>: DIKU-Rapport |
| series2 | Datalogisk Institut <København>: DIKU-Rapport |
| spelling | Alstrup, Stephen Verfasser aut Optimal algorithms for finding nearest common ancestors in dynamic trees Stephen Alstrup Kobenhavn 1995 13 S. txt rdacontent n rdamedia nc rdacarrier Datalogisk Institut <København>: DIKU-Rapport 1995,30 Abstract: "We consider the problem of finding the nearest common ancestor of two given nodes x and y (denoted by nca(x, y)) in a collection of dynamic rooted trees. Interspersed with the nca queries are on-line commands link(x, y) where x but not necessarily y is a tree root. The effect of a command link(x, y) is to combine the trees containing x and y by making y the parent of x. We present an optimal pointer machine algorithm which performs n link and m nca in time O(n + mloglogn)." Computational complexity Computer algorithms Trees (Graph theory) Datalogisk Institut <København>: DIKU-Rapport 1995,30 (DE-604)BV010011493 1995,30 |
| spellingShingle | Alstrup, Stephen Optimal algorithms for finding nearest common ancestors in dynamic trees Datalogisk Institut <København>: DIKU-Rapport Computational complexity Computer algorithms Trees (Graph theory) |
| title | Optimal algorithms for finding nearest common ancestors in dynamic trees |
| title_auth | Optimal algorithms for finding nearest common ancestors in dynamic trees |
| title_exact_search | Optimal algorithms for finding nearest common ancestors in dynamic trees |
| title_full | Optimal algorithms for finding nearest common ancestors in dynamic trees Stephen Alstrup |
| title_fullStr | Optimal algorithms for finding nearest common ancestors in dynamic trees Stephen Alstrup |
| title_full_unstemmed | Optimal algorithms for finding nearest common ancestors in dynamic trees Stephen Alstrup |
| title_short | Optimal algorithms for finding nearest common ancestors in dynamic trees |
| title_sort | optimal algorithms for finding nearest common ancestors in dynamic trees |
| topic | Computational complexity Computer algorithms Trees (Graph theory) |
| topic_facet | Computational complexity Computer algorithms Trees (Graph theory) |
| volume_link | (DE-604)BV010011493 |
| work_keys_str_mv | AT alstrupstephen optimalalgorithmsforfindingnearestcommonancestorsindynamictrees |