The Harary index of a graph:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2015
|
| Schriftenreihe: | SpringerBriefs in applied sciences and technology : Mathematical methods
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XV, 74 p. 35 illus) |
| ISBN: | 9783662458433 |
| ISSN: | 2191-530X |
| DOI: | 10.1007/978-3-662-45843-3 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV042326322 | ||
| 003 | DE-604 | ||
| 005 | 20200929 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 150204s2015 |||| o||u| ||||||eng d | ||
| 020 | |a 9783662458433 |c Online |9 978-3-662-45843-3 | ||
| 024 | 7 | |a 10.1007/978-3-662-45843-3 |2 doi | |
| 035 | |a (OCoLC)902843361 | ||
| 035 | |a (DE-599)BVBBV042326322 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91 |a DE-19 |a DE-703 |a DE-20 |a DE-739 |a DE-634 |a DE-861 |a DE-83 | ||
| 082 | 0 | |a 511.5 |2 23 | |
| 084 | |a MAT 000 |2 stub | ||
| 100 | 1 | |a Xu, Kexiang |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Harary index of a graph |c Kexiang Xu ; Kinkar Ch. Das ; Nenad Trinajstić |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2015 | |
| 300 | |a 1 Online-Ressource (XV, 74 p. 35 illus) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a SpringerBriefs in applied sciences and technology : Mathematical methods |x 2191-530X | |
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Chemistry / Mathematics | |
| 650 | 4 | |a Combinatorics | |
| 650 | 4 | |a Graph Theory | |
| 650 | 4 | |a Math. Applications in Chemistry | |
| 650 | 4 | |a Chemie | |
| 650 | 4 | |a Mathematik | |
| 650 | 0 | 7 | |a Abstand |0 (DE-588)4228463-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Moleküldeskriptor |0 (DE-588)4687841-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Ungerichteter Graph |0 (DE-588)4384966-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Ungerichteter Graph |0 (DE-588)4384966-0 |D s |
| 689 | 0 | 1 | |a Abstand |0 (DE-588)4228463-6 |D s |
| 689 | 0 | 2 | |a Moleküldeskriptor |0 (DE-588)4687841-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Das, Kinkar Ch. |e Verfasser |4 aut | |
| 700 | 1 | |a Trinajstić, Nenad |e Verfasser |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-3-662-45842-6 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-662-45843-3 |x Verlag |3 Volltext |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 856 | 4 | 2 | |m Springer Fremddatenuebernahme |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Abstract |
| 912 | |a ZDB-2-SMA | ||
| 940 | 1 | |q UBY_PDA_SMA | |
| 940 | 1 | |q ZDB-2-SMA_2015 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-027763159 | ||
| 966 | e | |u https://doi.org/10.1007/978-3-662-45843-3 |l BTU01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-662-45843-3 |l FRO01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-662-45843-3 |l TUM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-662-45843-3 |l UBM01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-662-45843-3 |l UBT01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-662-45843-3 |l UBW01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1007/978-3-662-45843-3 |l UPA01 |p ZDB-2-SMA |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804152928445923328 |
|---|---|
| adam_text | THE HARARY INDEX OF A GRAPH
/ XU, KEXIANG
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
EXTREMAL GRAPHS WITH RESPECT TO HARARY INDEX
RELATION BETWEEN THE HARARY INDEX AND RELATED TOPOLOGICAL INDICES
SOME PROPERTIES AND APPLICATIONS OF HARARY INDEX
THE VARIANTS OF HARARY INDEX
OPEN PROBLEMS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
THE HARARY INDEX OF A GRAPH
/ XU, KEXIANG
: 2015
ABSTRACT / INHALTSTEXT
THIS IS THE FIRST BOOK TO FOCUS ON THE TOPOLOGICAL INDEX, THE HARARY
INDEX, OF A GRAPH, INCLUDING ITS MATHEMATICAL PROPERTIES, CHEMICAL
APPLICATIONS AND SOME RELATED AND ATTRACTIVE OPEN PROBLEMS. THIS BOOK IS
DEDICATED TO PROFESSOR FRANK HARARY (1921—2005), THE GRANDMASTER OF
GRAPH THEORY AND ITS APPLICATIONS. IT HAS BE WRITTEN BY EXPERTS IN THE
FIELD OF GRAPH THEORY AND ITS APPLICATIONS. FOR A CONNECTED GRAPH G, AS
AN IMPORTANT DISTANCE-BASED TOPOLOGICAL INDEX, THE HARARY INDEX H(G) IS
DEFINED AS THE SUM OF THE RECIPROCALS OF THE DISTANCE BETWEEN ANY TWO
UNORDERED VERTICES OF THE GRAPH G. IN THIS BOOK, THE AUTHORS REPORT ON
THE NEWEST RESULTS ON THE HARARY INDEX OF A GRAPH. THESE RESULTS MAINLY
CONCERN EXTERNAL GRAPHS WITH RESPECT TO THE HARARY INDEX; THE RELATIONS
TO OTHER TOPOLOGICAL INDICES; ITS PROPERTIES AND APPLICATIONS TO PURE
GRAPH THEORY AND CHEMICAL GRAPH THEORY; AND TWO SIGNIFICANT VARIANTS,
I.E., ADDITIVELY AND MULTIPLICATIVELY WEIGHTED HARARY INDICES. IN THE
LAST CHAPTER, WE PRESENT A NUMBER OF OPEN PROBLEMS RELATED TO THE HARARY
INDEX. AS SUCH, THE BOOK WILL NOT ONLY BE OF INTEREST TO GRAPH
RESEARCHERS, BUT TO MATHEMATICAL CHEMISTS AS WELL.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Xu, Kexiang Das, Kinkar Ch Trinajstić, Nenad |
| author_facet | Xu, Kexiang Das, Kinkar Ch Trinajstić, Nenad |
| author_role | aut aut aut |
| author_sort | Xu, Kexiang |
| author_variant | k x kx k c d kc kcd n t nt |
| building | Verbundindex |
| bvnumber | BV042326322 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)902843361 (DE-599)BVBBV042326322 |
| dewey-full | 511.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.5 |
| dewey-search | 511.5 |
| dewey-sort | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-45843-3 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03120nmm a2200661zc 4500</leader><controlfield tag="001">BV042326322</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20200929 </controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150204s2015 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783662458433</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-662-45843-3</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-662-45843-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)902843361</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042326322</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.5</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Xu, Kexiang</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">The Harary index of a graph</subfield><subfield code="c">Kexiang Xu ; Kinkar Ch. Das ; Nenad Trinajstić</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2015</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XV, 74 p. 35 illus)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">SpringerBriefs in applied sciences and technology : Mathematical methods</subfield><subfield code="x">2191-530X</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chemistry / Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Combinatorics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Graph Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Math. Applications in Chemistry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chemie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Abstand</subfield><subfield code="0">(DE-588)4228463-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Moleküldeskriptor</subfield><subfield code="0">(DE-588)4687841-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Ungerichteter Graph</subfield><subfield code="0">(DE-588)4384966-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Ungerichteter Graph</subfield><subfield code="0">(DE-588)4384966-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Abstand</subfield><subfield code="0">(DE-588)4228463-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Moleküldeskriptor</subfield><subfield code="0">(DE-588)4687841-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Das, Kinkar Ch.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Trinajstić, Nenad</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-3-662-45842-6</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">UBY_PDA_SMA</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_2015</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027763159</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="l">BTU01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="l">FRO01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="l">TUM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="l">UBM01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="l">UBT01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="l">UBW01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1007/978-3-662-45843-3</subfield><subfield code="l">UPA01</subfield><subfield code="p">ZDB-2-SMA</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV042326322 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:30Z |
| institution | BVB |
| isbn | 9783662458433 |
| issn | 2191-530X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027763159 |
| oclc_num | 902843361 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
| owner_facet | DE-91 DE-BY-TUM DE-19 DE-BY-UBM DE-703 DE-20 DE-739 DE-634 DE-861 DE-83 |
| physical | 1 Online-Ressource (XV, 74 p. 35 illus) |
| psigel | ZDB-2-SMA UBY_PDA_SMA ZDB-2-SMA_2015 |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Springer |
| record_format | marc |
| series2 | SpringerBriefs in applied sciences and technology : Mathematical methods |
| spelling | Xu, Kexiang Verfasser aut The Harary index of a graph Kexiang Xu ; Kinkar Ch. Das ; Nenad Trinajstić Berlin [u.a.] Springer 2015 1 Online-Ressource (XV, 74 p. 35 illus) txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in applied sciences and technology : Mathematical methods 2191-530X Mathematics Chemistry / Mathematics Combinatorics Graph Theory Math. Applications in Chemistry Chemie Mathematik Abstand (DE-588)4228463-6 gnd rswk-swf Moleküldeskriptor (DE-588)4687841-5 gnd rswk-swf Ungerichteter Graph (DE-588)4384966-0 gnd rswk-swf Ungerichteter Graph (DE-588)4384966-0 s Abstand (DE-588)4228463-6 s Moleküldeskriptor (DE-588)4687841-5 s DE-604 Das, Kinkar Ch. Verfasser aut Trinajstić, Nenad Verfasser aut Erscheint auch als Druckausgabe 978-3-662-45842-6 https://doi.org/10.1007/978-3-662-45843-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Xu, Kexiang Das, Kinkar Ch Trinajstić, Nenad The Harary index of a graph Mathematics Chemistry / Mathematics Combinatorics Graph Theory Math. Applications in Chemistry Chemie Mathematik Abstand (DE-588)4228463-6 gnd Moleküldeskriptor (DE-588)4687841-5 gnd Ungerichteter Graph (DE-588)4384966-0 gnd |
| subject_GND | (DE-588)4228463-6 (DE-588)4687841-5 (DE-588)4384966-0 |
| title | The Harary index of a graph |
| title_auth | The Harary index of a graph |
| title_exact_search | The Harary index of a graph |
| title_full | The Harary index of a graph Kexiang Xu ; Kinkar Ch. Das ; Nenad Trinajstić |
| title_fullStr | The Harary index of a graph Kexiang Xu ; Kinkar Ch. Das ; Nenad Trinajstić |
| title_full_unstemmed | The Harary index of a graph Kexiang Xu ; Kinkar Ch. Das ; Nenad Trinajstić |
| title_short | The Harary index of a graph |
| title_sort | the harary index of a graph |
| topic | Mathematics Chemistry / Mathematics Combinatorics Graph Theory Math. Applications in Chemistry Chemie Mathematik Abstand (DE-588)4228463-6 gnd Moleküldeskriptor (DE-588)4687841-5 gnd Ungerichteter Graph (DE-588)4384966-0 gnd |
| topic_facet | Mathematics Chemistry / Mathematics Combinatorics Graph Theory Math. Applications in Chemistry Chemie Mathematik Abstand Moleküldeskriptor Ungerichteter Graph |
| url | https://doi.org/10.1007/978-3-662-45843-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027763159&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT xukexiang thehararyindexofagraph AT daskinkarch thehararyindexofagraph AT trinajsticnenad thehararyindexofagraph |