From Apresjan Hierarchies and Bandelt-Dress Weak hierarchies to Quasi-hierarchies View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1994

AUTHORS

Jean Diatta , Bernard Fichet

ABSTRACT

The one-to-one correspondence between indexed hierarchies and ultrametrics is here extended to the one between indexed quasi-hierarchies and quasi-ultrametrics. Quasi-hierarchies are obtained by adding some usual axioms to the Bandelt and Dress weak hierarchies, whereas quasi-ultrametrics derive from a topological comparative approach of both Apresjan’s clusters and Bandelt-Dress weak clusters. Moreover, our bijection also extends the equivalence between indexed pseudo-hierarchies and strongly-Robinsonian dissimilarities. More... »

PAGES

111-118

References to SciGraph publications

Book

TITLE

New Approaches in Classification and Data Analysis

ISBN

978-3-540-58425-4
978-3-642-51175-2

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-51175-2_11

DOI

http://dx.doi.org/10.1007/978-3-642-51175-2_11

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1047431565


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Mathematical Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "name": [
            "U.F.R. M.I.M, Universit\u00e9 de Provence, 27 Bd. Jean Moulin, F.-13385\u00a0Marseille Cedex 5, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Diatta", 
        "givenName": "Jean", 
        "id": "sg:person.014253767353.90", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014253767353.90"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "U.F.R. M.I.M, Universit\u00e9 de Provence, 27 Bd. Jean Moulin, F.-13385\u00a0Marseille Cedex 5, France"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Fichet", 
        "givenName": "Bernard", 
        "id": "sg:person.011131524267.44", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011131524267.44"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf02458841", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002992725", 
          "https://doi.org/10.1007/bf02458841"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02458841", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002992725", 
          "https://doi.org/10.1007/bf02458841"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0025-5564(67)90032-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1013151920"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02289588", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041776510", 
          "https://doi.org/10.1007/bf02289588"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02289588", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041776510", 
          "https://doi.org/10.1007/bf02289588"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1994", 
    "datePublishedReg": "1994-01-01", 
    "description": "The one-to-one correspondence between indexed hierarchies and ultrametrics is here extended to the one between indexed quasi-hierarchies and quasi-ultrametrics. Quasi-hierarchies are obtained by adding some usual axioms to the Bandelt and Dress weak hierarchies, whereas quasi-ultrametrics derive from a topological comparative approach of both Apresjan\u2019s clusters and Bandelt-Dress weak clusters. Moreover, our bijection also extends the equivalence between indexed pseudo-hierarchies and strongly-Robinsonian dissimilarities.", 
    "editor": [
      {
        "familyName": "Diday", 
        "givenName": "Edwin", 
        "type": "Person"
      }, 
      {
        "familyName": "Lechevallier", 
        "givenName": "Yves", 
        "type": "Person"
      }, 
      {
        "familyName": "Schader", 
        "givenName": "Martin", 
        "type": "Person"
      }, 
      {
        "familyName": "Bertrand", 
        "givenName": "Patrice", 
        "type": "Person"
      }, 
      {
        "familyName": "Burtschy", 
        "givenName": "Bernard", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-642-51175-2_11", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-540-58425-4", 
        "978-3-642-51175-2"
      ], 
      "name": "New Approaches in Classification and Data Analysis", 
      "type": "Book"
    }, 
    "name": "From Apresjan Hierarchies and Bandelt-Dress Weak hierarchies to Quasi-hierarchies", 
    "pagination": "111-118", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-642-51175-2_11"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "e1f2d3baa8649e4db11c292b7569271916dacf257ebffde2fa88b368b297d92f"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1047431565"
        ]
      }
    ], 
    "publisher": {
      "location": "Berlin, Heidelberg", 
      "name": "Springer Berlin Heidelberg", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-642-51175-2_11", 
      "https://app.dimensions.ai/details/publication/pub.1047431565"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T19:12", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8684_00000272.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-642-51175-2_11"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51175-2_11'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51175-2_11'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51175-2_11'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-642-51175-2_11'


 

This table displays all metadata directly associated to this object as RDF triples.

104 TRIPLES      23 PREDICATES      30 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-642-51175-2_11 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N7ceb10986ef144f0a2f99a0e56465942
4 schema:citation sg:pub.10.1007/bf02289588
5 sg:pub.10.1007/bf02458841
6 https://doi.org/10.1016/0025-5564(67)90032-6
7 schema:datePublished 1994
8 schema:datePublishedReg 1994-01-01
9 schema:description The one-to-one correspondence between indexed hierarchies and ultrametrics is here extended to the one between indexed quasi-hierarchies and quasi-ultrametrics. Quasi-hierarchies are obtained by adding some usual axioms to the Bandelt and Dress weak hierarchies, whereas quasi-ultrametrics derive from a topological comparative approach of both Apresjan’s clusters and Bandelt-Dress weak clusters. Moreover, our bijection also extends the equivalence between indexed pseudo-hierarchies and strongly-Robinsonian dissimilarities.
10 schema:editor Nad766f1bf5ec41c2ba8d499adbd87c12
11 schema:genre chapter
12 schema:inLanguage en
13 schema:isAccessibleForFree false
14 schema:isPartOf Nf3ce5b631b594009ba0d23b3e74762ee
15 schema:name From Apresjan Hierarchies and Bandelt-Dress Weak hierarchies to Quasi-hierarchies
16 schema:pagination 111-118
17 schema:productId N0c353a402ef7447b880a2a101b558cb3
18 N1b8545e47d454cebb352dfb9aa2995eb
19 N38ec1dd9736e4e09b712d52d6c7e2640
20 schema:publisher N0a694112719742318bff9c62e8990ec6
21 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047431565
22 https://doi.org/10.1007/978-3-642-51175-2_11
23 schema:sdDatePublished 2019-04-15T19:12
24 schema:sdLicense https://scigraph.springernature.com/explorer/license/
25 schema:sdPublisher Ndf3a6abc1d2242aa92f5407d46d7143d
26 schema:url http://link.springer.com/10.1007/978-3-642-51175-2_11
27 sgo:license sg:explorer/license/
28 sgo:sdDataset chapters
29 rdf:type schema:Chapter
30 N014fd965a6a4432492171ca98ab87607 schema:name U.F.R. M.I.M, Université de Provence, 27 Bd. Jean Moulin, F.-13385 Marseille Cedex 5, France
31 rdf:type schema:Organization
32 N0a694112719742318bff9c62e8990ec6 schema:location Berlin, Heidelberg
33 schema:name Springer Berlin Heidelberg
34 rdf:type schema:Organisation
35 N0c353a402ef7447b880a2a101b558cb3 schema:name doi
36 schema:value 10.1007/978-3-642-51175-2_11
37 rdf:type schema:PropertyValue
38 N1b8545e47d454cebb352dfb9aa2995eb schema:name dimensions_id
39 schema:value pub.1047431565
40 rdf:type schema:PropertyValue
41 N28affa7340334288a3533b4eb0a7e28d schema:name U.F.R. M.I.M, Université de Provence, 27 Bd. Jean Moulin, F.-13385 Marseille Cedex 5, France
42 rdf:type schema:Organization
43 N38ec1dd9736e4e09b712d52d6c7e2640 schema:name readcube_id
44 schema:value e1f2d3baa8649e4db11c292b7569271916dacf257ebffde2fa88b368b297d92f
45 rdf:type schema:PropertyValue
46 N5856bce5fea84b8fa0d2e23f46e31e8b rdf:first Ndd20a505d03a4e478c026f6be2dc22c8
47 rdf:rest Nce0135e86c9544bfa41662223bd7a6b4
48 N74a6f5998bc342468a7bb42c0c7f2de2 schema:familyName Burtschy
49 schema:givenName Bernard
50 rdf:type schema:Person
51 N7c4446355a5f4adf91c33e67f56d7279 schema:familyName Bertrand
52 schema:givenName Patrice
53 rdf:type schema:Person
54 N7ceb10986ef144f0a2f99a0e56465942 rdf:first sg:person.014253767353.90
55 rdf:rest Nd0ea69d78e3a4acaa4f8bad17e81ce6f
56 N925928dfdd48488c8c39616ce3a32c37 schema:familyName Diday
57 schema:givenName Edwin
58 rdf:type schema:Person
59 Nacbe931218ab4c6fb4773f2bee81260a rdf:first N7c4446355a5f4adf91c33e67f56d7279
60 rdf:rest Nbec09e86034e4034ba00f6b7ad1712ee
61 Nad766f1bf5ec41c2ba8d499adbd87c12 rdf:first N925928dfdd48488c8c39616ce3a32c37
62 rdf:rest N5856bce5fea84b8fa0d2e23f46e31e8b
63 Nbec09e86034e4034ba00f6b7ad1712ee rdf:first N74a6f5998bc342468a7bb42c0c7f2de2
64 rdf:rest rdf:nil
65 Nce0135e86c9544bfa41662223bd7a6b4 rdf:first Nd939ec02850a4be19907a6ddd111cf9a
66 rdf:rest Nacbe931218ab4c6fb4773f2bee81260a
67 Nd0ea69d78e3a4acaa4f8bad17e81ce6f rdf:first sg:person.011131524267.44
68 rdf:rest rdf:nil
69 Nd939ec02850a4be19907a6ddd111cf9a schema:familyName Schader
70 schema:givenName Martin
71 rdf:type schema:Person
72 Ndd20a505d03a4e478c026f6be2dc22c8 schema:familyName Lechevallier
73 schema:givenName Yves
74 rdf:type schema:Person
75 Ndf3a6abc1d2242aa92f5407d46d7143d schema:name Springer Nature - SN SciGraph project
76 rdf:type schema:Organization
77 Nf3ce5b631b594009ba0d23b3e74762ee schema:isbn 978-3-540-58425-4
78 978-3-642-51175-2
79 schema:name New Approaches in Classification and Data Analysis
80 rdf:type schema:Book
81 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
82 schema:name Mathematical Sciences
83 rdf:type schema:DefinedTerm
84 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
85 schema:name Pure Mathematics
86 rdf:type schema:DefinedTerm
87 sg:person.011131524267.44 schema:affiliation N28affa7340334288a3533b4eb0a7e28d
88 schema:familyName Fichet
89 schema:givenName Bernard
90 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011131524267.44
91 rdf:type schema:Person
92 sg:person.014253767353.90 schema:affiliation N014fd965a6a4432492171ca98ab87607
93 schema:familyName Diatta
94 schema:givenName Jean
95 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014253767353.90
96 rdf:type schema:Person
97 sg:pub.10.1007/bf02289588 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041776510
98 https://doi.org/10.1007/bf02289588
99 rdf:type schema:CreativeWork
100 sg:pub.10.1007/bf02458841 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002992725
101 https://doi.org/10.1007/bf02458841
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1016/0025-5564(67)90032-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1013151920
104 rdf:type schema:CreativeWork
 




Preview window. Press ESC to close (or click here)


...