Introduction to graph theory
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, England [u.a.]
Pearson
2010
|
| Ausgabe: | 5. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Introduction to graph theory |c Robin J. Wilson |
| 250 | |a 5. ed. | ||
| 264 | 1 | |a Harlow, England [u.a.] |b Pearson |c 2010 | |
| 300 | |a VIII, 184 S. |b Ill., graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Graph theory | |
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Datensatz im Suchindex
| _version_ | 1819746098466521088 |
|---|---|
| adam_text | Contents
Preface
to the fifth edition
vii
Introduction
1
1
Definitions and examples
8
1.1
Definitions
8
1.2
Examples
18
1.3
Variations on a theme
22
1.4
Three puzzles
26
2
Paths and cycles
32
2.1
Connectivity
32
2.2
Eulerian graphs and digraphs
40
2.3
Hamiltonian graphs and digraphs
47
2.4·
Applications
52
3
Trees
61
61
65
70
80
80
86
91
96
■5
Colouring graphs
101
5.1
Colouring vertices
101
5.2
Chromatic polynomials
107
5.3
Colouring maps
111
5.4
The four-colour theorem
117
5.5
Colouring edges
122
3.1
Properties of trees
3.2
Counting trees
3.3
More applications
Planarity
4.1
Planar graphs
4.2
Euler s formula
4.3
Dual graphs
4.4
Graphs on other surfaces
Go forth, my little hook! pursue thy way!
Go forth, and please the gentle and the good.
William Wordsworth
vi
Contents
6
Matching, marriage and Menger s theorem
128
6.1
Hall s marriage theorem
128
6.2
Menger s theorem
134
6.3
Network flows
138
7
Matroids us
7.1
Introduction to matroids
145
7.2
Examples of matroids
149
7.3
Matroids and graphs
152
Appendix
1:
Algorithms
158
Appendix
2:
Table of numbers
161
List of symbols
162
Bibliography
163
Solutions to selected exercises
166
Index
181
|
| any_adam_object | 1 |
| author | Wilson, Robin J. 1943- |
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| author_facet | Wilson, Robin J. 1943- |
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| bvnumber | BV042373792 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 890 |
| ctrlnum | (OCoLC)904701196 (DE-599)BVBBV042373792 |
| 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 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 5. ed. |
| format | Book |
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| id | DE-604.BV042373792 |
| illustrated | Illustrated |
| indexdate | 2024-12-24T04:21:55Z |
| institution | BVB |
| isbn | 9780273728894 027372889X |
| language | English |
| lccn | 2010009905 |
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| owner_facet | DE-739 DE-634 |
| physical | VIII, 184 S. Ill., graph. Darst. 24 cm |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Pearson |
| record_format | marc |
| spellingShingle | Wilson, Robin J. 1943- Introduction to graph theory Graph theory Graph (DE-588)4021842-9 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4021842-9 (DE-588)4113782-6 (DE-588)4151278-9 (DE-588)4123623-3 |
| title | Introduction to graph theory |
| title_auth | Introduction to graph theory |
| title_exact_search | Introduction to graph theory |
| title_full | Introduction to graph theory Robin J. Wilson |
| title_fullStr | Introduction to graph theory Robin J. Wilson |
| title_full_unstemmed | Introduction to graph theory Robin J. Wilson |
| title_short | Introduction to graph theory |
| title_sort | introduction to graph theory |
| topic | Graph theory Graph (DE-588)4021842-9 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Graph theory Graph Graphentheorie Einführung Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027810003&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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