Geodesic convexity in graphs:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2013
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Schriftenreihe: | SpringerBriefs in mathematics
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Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781461486985 9781461486992 |
DOI: | 10.1007/978-1-4614-8699-2 |
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Datensatz im Suchindex
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adam_text | GEODESIC CONVEXITY IN GRAPHS
/ PELAYO, IGNACIO M.
: 2013
ABSTRACT / INHALTSTEXT
GEODESIC CONVEXITY IN GRAPHSIS DEVOTED TO THE STUDY OF THE GEODESIC
CONVEXITY ON FINITE, SIMPLE, CONNECTED GRAPHS. THE FIRST CHAPTER
INCLUDES THE MAIN DEFINITIONS AND RESULTS ON GRAPH THEORY, METRIC GRAPH
THEORY AND GRAPH PATH CONVEXITIES. THE FOLLOWING CHAPTERS FOCUS
EXCLUSIVELY ON THE GEODESIC CONVEXITY, INCLUDING MOTIVATION AND
BACKGROUND, SPECIFIC DEFINITIONS, DISCUSSION AND EXAMPLES, RESULTS,
PROOFS, EXERCISES AND OPEN PROBLEMS. THE MAIN AND MOST ST UDIED
PARAMETERS INVOLVING GEODESIC CONVEXITY IN GRAPHS ARE BOTH THE GEODETIC
AND THE HULL NUMBER WHICH ARE DEFINED AS THE CARDINALITY OF MINIMUM
GEODETIC AND HULL SET, RESPECTIVELY. THIS TEXT REVIEWS VARIOUS RESULTS,
OBTAINED DURING THE LAST ONE AND A HALF DECADE, RELATING THESE TWO
INVARIANTS AND SOME OTHERS SUCH AS CONVEXITY NUMBER, STEINER NUMBER,
GEODETIC ITERATION NUMBER, HELLY NUMBER, AND CARATHEODORY NUMBER TO A
WIDE RANGE A CONTEXTS, INCLUDING PRODUCTS, BOUNDARY-TYPE VERTEX SETS,
AND PERFECT GRAPH FAMILIES. THIS MONOGRAPH CAN SERVE AS A SUPPLEMENT TO
A HALF-SEMESTER GRADUATECOURSE IN GEODESIC CONVEXITYBUT IS
PRIMARILYA GUIDE FOR POSTGRADUATES AND RESEARCHERS INTERESTED IN
TOPICS RELATED TO METRIC GRAPH THEORY AND GRAPH CONVEXITY THEORY.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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dewey-full | 910 |
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dewey-ones | 910 - Geography and travel |
dewey-raw | 910 |
dewey-search | 910 |
dewey-sort | 3910 |
dewey-tens | 910 - Geography and travel |
discipline | Mathematik Geographie |
doi_str_mv | 10.1007/978-1-4614-8699-2 |
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language | English |
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spelling | Pelayo, Ignacio M. Verfasser aut Geodesic convexity in graphs Ignacio M. Pelayo Cham [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier SpringerBriefs in mathematics https://doi.org/10.1007/978-1-4614-8699-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830048&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Pelayo, Ignacio M. Geodesic convexity in graphs |
title | Geodesic convexity in graphs |
title_auth | Geodesic convexity in graphs |
title_exact_search | Geodesic convexity in graphs |
title_full | Geodesic convexity in graphs Ignacio M. Pelayo |
title_fullStr | Geodesic convexity in graphs Ignacio M. Pelayo |
title_full_unstemmed | Geodesic convexity in graphs Ignacio M. Pelayo |
title_short | Geodesic convexity in graphs |
title_sort | geodesic convexity in graphs |
url | https://doi.org/10.1007/978-1-4614-8699-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026830048&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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