Graphs and matrices:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Delhi
Hindustan Book Agency
2014
London [u.a.] Springer |
| Edition: | 2. ed. |
| Series: | Universitext
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781447165682 9781447165699 |
| DOI: | 10.1007/978-1-4471-6569-9 |
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Record in the Search Index
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| adam_text | GRAPHS AND MATRICES
/ BAPAT, RAVINDRA B.
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PRELIMINARIES
INCIDENCE MATRIX
ADJACENCY MATRIX
LAPLACIAN MATRIX
CYCLES AND CUTS
REGULAR GRAPHS
LINE GRAPH OF A TREE
ALGEBRAIC CONNECTIVITY
DISTANCE MATRIX OF A TREE
RESISTANCE DISTANCE
LAPLACIAN EIGENVALUES OF THRESHOLD GRAPHS
POSITIVE DEFINITE COMPLETION PROBLEM
MATRIX GAMES BASED ON GRAPHS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
GRAPHS AND MATRICES
/ BAPAT, RAVINDRA B.
: 2014
ABSTRACT / INHALTSTEXT
THIS NEW EDITION ILLUSTRATES THE POWER OF LINEAR ALGEBRA IN THE STUDY OF
GRAPHS. THE EMPHASIS ON MATRIX TECHNIQUES IS GREATER THAN IN OTHER TEXTS
ON ALGEBRAIC GRAPH THEORY. IMPORTANT MATRICES ASSOCIATED WITH GRAPHS
(FOR EXAMPLE, INCIDENCE, ADJACENCY AND LAPLACIAN MATRICES) ARE TREATED
IN DETAIL. PRESENTING A USEFUL OVERVIEW OF SELECTED TOPICS IN ALGEBRAIC
GRAPH THEORY, EARLY CHAPTERS OF THE TEXT FOCUS ON REGULAR GRAPHS,
ALGEBRAIC CONNECTIVITY, THE DISTANCE MATRIX OF A TREE, AND ITS
GENERALIZED VERSION FOR ARBITRARY GRAPHS, KNOWN AS THE RESISTANCE
MATRIX. COVERAGE OF LATER TOPICS INCLUDE LAPLACIAN EIGENVALUES OF
THRESHOLD GRAPHS, THE POSITIVE DEFINITE COMPLETION PROBLEM AND MATRIX
GAMES BASED ON A GRAPH. SUCH AN EXTENSIVE COVERAGE OF THE SUBJECT AREA
PROVIDES A WELCOME PROMPT FOR FURTHER EXPLORATION. THE INCLUSION OF
EXERCISES ENABLES PRACTICAL LEARNING THROUGHOUT THE BOOK. IN THE NEW
EDITION, A NEW CHAPTER IS ADDED ON THE LINE GRAPH OF A TREE, WHILE SOME
RESULTS IN CHAPTER 6 ON PERRON-FROBENIUS THEORY ARE REORGANIZED. WHILST
THIS BOOK WILL BE INVALUABLE TO STUDENTS AND RESEARCHERS IN GRAPH THEORY
AND COMBINATORIAL MATRIX THEORY, IT WILL ALSO BENEFIT READERS IN THE
SCIENCES AND ENGINEERING
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Bapat, Ravi B. |
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| author_role | aut |
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| author_variant | r b b rb rbb |
| building | Verbundindex |
| bvnumber | BV042103459 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)892088974 (DE-599)DNB1058519808 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-search | 510 |
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| discipline | Mathematik |
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| spelling | Bapat, Ravi B. Verfasser (DE-588)115635831 aut Graphs and matrices Ravindra B. Bapat 2. ed. New Delhi Hindustan Book Agency 2014 London [u.a.] Springer 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Universitext Graphentheorie (DE-588)4113782-6 gnd rswk-swf Electronic book text Graphentheorie (DE-588)4113782-6 s 1\p DE-604 https://doi.org/10.1007/978-1-4471-6569-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027544032&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=027544032&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bapat, Ravi B. Graphs and matrices Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4113782-6 |
| title | Graphs and matrices |
| title_auth | Graphs and matrices |
| title_exact_search | Graphs and matrices |
| title_full | Graphs and matrices Ravindra B. Bapat |
| title_fullStr | Graphs and matrices Ravindra B. Bapat |
| title_full_unstemmed | Graphs and matrices Ravindra B. Bapat |
| title_short | Graphs and matrices |
| title_sort | graphs and matrices |
| topic | Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Graphentheorie |
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