Graph theory applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1994
|
| Ausgabe: | Corr. 2. printing |
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 385 S. graph. Darst. |
| ISBN: | 3540975993 0387975993 |
Internformat
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| 100 | 1 | |a Foulds, Lesley R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Graph theory applications |c L. R. Foulds |
| 250 | |a Corr. 2. printing | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1994 | |
| 300 | |a XV, 385 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
| _version_ | 1804124813368754176 |
|---|---|
| adam_text | CONTENTS
PREFACE
V
TEACHING
PLANS
XV
PART
I:
THE
THEORY
OF
GRAPHS
1
CHAPTER
1:
BASIC
IDEAS
3
HISTORY
3
INITIAL
CONCEPTS
9
SUMMARY
15
EXERCISES
15
CHAPTER
2:
CONNECTIVITY
17
INTRODUCTION
17
ELEMENTARY
RESULTS
19
STRUCTURE
BASED
ON
CONNECTIVITY
22
SUMMARY
24
EXERCISES
25
IX
X
GRAPH
THEORY
APPLICATIONS
CHAPTER
3:
TREES
27
CHARACTERIZATIONS
27
THEOREMS
ON
TIREES
30
TREE
DISTANCES
30
BINARY
TREES
32
TREE
ENUMERATION
35
SPANNING
TREES
37
FUNDAMENTAL
CYCLES
38
SUMMARY
39
EXERCISES
41
CHAPTER
4:
TRAVERS
ABILITY
43
INTRODUCTION
43
EULERIAN
GRAPHS
43
HAMILTONIAN
GRAPHS
46
SUMMARY
50
EXERCISES
51
CHAPTER
5:
PLANARITY
53
THE
UTILITIES
PROBLEM
53
PLANE
AND
PLANAR
GRAPHS
55
PLANAR
GRAPH
REPRESENTATION
55
PLANARITY
DETECTION
60
DUALITY
64
THICKNESS
AND
CROSSING
NUMBERS
70
SUMMARY
73
EXERCISES
73
CHAPTER
6:
MATRICES
75
THE
ADJACENCY
MATRIX
76
THE
INCIDENCE
MATRIX
77
THE
CYCLE
MATRIX
80
THE
CUT-SET
MATRIX
84
THE
PATH
MATRIX
90
SUMMARY
91
EXERCISES
91
CONTENTS
XI
CHAPTER
7:
DIGRAPHS
93
CONNECTIVITY
93
TRAVERSABILITY
98
DIRECTED
TREES
100
MORE
DIGRAPH
MATRICES
100
THE
PRINCIPLE
OF
DIRECTIONAL
DUALITY
107
TOURNAMENTS
108
SUMMARY
120
EXERCISES
120
CHAPTER
8:
COVERINGS
AND
COLOURINGS
123
COVERING,
INDEPENDENCE,
AND
DOMINATION
124
COLOURING
132
MATCHING
134
SUMMARY
142
EXERCISES
143
CHAPTER
9:
ALGORITHMS
145
ALGORITHMS
146
INPUT
146
COMPLEXITY
149
OUTPUT
160
GRAPH
ANALYSIS
ALGORIT
HMS
161
GRAPH
OPTIMIZATION
ALGORITHMS
174
SUMMARY
180
EXERCISES
180
CHAPTER
10:
MATROIDS
183
INTRODUCTION
184
DUALITY
186
THE
GREEDY
ALGORITHM
188
SUMMARY
191
EXERCISES
191
|
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| discipline | Informatik Mathematik |
| edition | Corr. 2. printing |
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| id | DE-604.BV010387548 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:51:38Z |
| institution | BVB |
| isbn | 3540975993 0387975993 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006916504 |
| oclc_num | 722679501 |
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| owner | DE-703 DE-91 DE-BY-TUM DE-634 DE-83 |
| owner_facet | DE-703 DE-91 DE-BY-TUM DE-634 DE-83 |
| physical | XV, 385 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| series2 | Universitext |
| spelling | Foulds, Lesley R. Verfasser aut Graph theory applications L. R. Foulds Corr. 2. printing New York [u.a.] Springer 1994 XV, 385 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Universitext Graph theory Graph (DE-588)4021842-9 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Graphentheorie (DE-588)4113782-6 s DE-604 Graph (DE-588)4021842-9 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006916504&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Foulds, Lesley R. Graph theory applications Graph theory Graph (DE-588)4021842-9 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4021842-9 (DE-588)4113782-6 |
| title | Graph theory applications |
| title_auth | Graph theory applications |
| title_exact_search | Graph theory applications |
| title_full | Graph theory applications L. R. Foulds |
| title_fullStr | Graph theory applications L. R. Foulds |
| title_full_unstemmed | Graph theory applications L. R. Foulds |
| title_short | Graph theory applications |
| title_sort | graph theory applications |
| topic | Graph theory Graph (DE-588)4021842-9 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Graph theory Graph Graphentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006916504&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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