Schaum's outline of theory and problems of graph theory
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|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
McGraw-Hill
1997
|
| Schriftenreihe: | Schaum's outline series
|
| Schlagworte: | |
| Online-Zugang: | Publisher description Table of contents Inhaltsverzeichnis |
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| 100 | 1 | |a Balakrishnan, V. K. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Schaum's outline of theory and problems of graph theory |c V.K. Balakrishnan |
| 246 | 1 | 3 | |a Theory and problems of graph theory |
| 246 | 1 | 3 | |a Graph theory |
| 246 | 1 | 3 | |a Schaum's outlines graph theory |
| 264 | 1 | |a New York |b McGraw-Hill |c 1997 | |
| 300 | |a VIII, 293 S. |b Ill. : 28 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Schaum's outline series | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke. - Includes bibliographical references (S. 287) and index | ||
| 650 | 4 | |a Graph theory |v Outlines, syllabi, etc | |
| 650 | 4 | |a Graph theory |v Problems, exercises, etc | |
| 650 | 0 | 7 | |a Graphentheorie |0 (DE-588)4113782-6 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4143389-0 |a Aufgabensammlung |2 gnd-content | |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Graphentheorie |0 (DE-588)4113782-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | |u http://www.loc.gov/catdir/description/mh022/97000090.html |3 Publisher description | |
| 856 | 4 | |u http://www.loc.gov/catdir/toc/mh022/97000090.html |3 Table of contents | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009952335 | |
Datensatz im Suchindex
| _version_ | 1819582942574280704 |
|---|---|
| adam_text | Contents
Chapter
1
GRAPHS AND DIGRAPHS
..................................................................... 1
1.1
Introduction
......................................................................................... 1
1.2
Graph Isomorphism
............................................................................... 3
1.3
Subgraphs
........................................................................................... 4
1.4
Degrees, Indegrees, and Outdegrees
............................................................ 4
1.5
Adjacency Matrices and Incidence Matrices
.................................................. 5
1.6
Degree Vectors of Simple Graphs
.............................................................. 6
Chapter
2
CONNECTIVITY
.................................................................................... 28
2.1
Paths, Circuits, and Cycles
....................................................................... 28
2.2
Connected Graphs and Digraphs
................................................................ 29
2.3
Trees and Spanning Trees
........................................................................ 31
2.4
Strong Orientations of Graphs
................................................................... 34
Chapter
3
EULERIAN AND HAMILTONIAN GRAPHS
............................................ 60
3.1
Eulerian Graphs and Digraphs
................................................................... 60
3.2
Hamiltonian Graphs and Digraphs
.............................................................. 65
3.3
Tournaments
........................................................................................ 67
Chapter
4
OPTIMIZATION INVOLVING TREES
.................................................... 93
4.1
Minimum Weight Spanning Trees
.............................................................. 93
4.2
Maximum Weight Branchings
........................................................... ........ 98
4.3
Minimum Weight Arborescences
............................................................... 100
4.4
Matroids and the Greedy Algorithm
............................................................ 103
Chapter
5
SHORTEST PATH PROBLEMS
.............................................................. 118
5.1
Two Shortest Path Algorithms
.................................................................. 118
5.2
The
Steiner
Network Problem
................................................................... 121
5.3
Facility Location Problems
...................................................................... 123
Chapter
6
FLOWS, CONNECTIVITY, AND COMBINATORICS
............................... 131
6.1
Flows in Networks and
Menger
s
Theorem
................................................... 131
6.2
More on Connectivity
............................................................................. 135
6.3
Some Applications to Combinatorics
........................................................... 137
Chapter
7
MATCHINGS AND FACTORS
................................................................ 163
7.1
More on Matchings
............................................................................... 163
7.2
The Optimal Assignment Problem
.............................................................. 163
vii
Vlil
CONTENTS
7.3
The Traveling Salesperson Problem (TSP)
.................................................... 166
7.4
Factors, Factorizations, and the Petersen Graph
.............................................. 168
Chapter
8
GRAPH EMBEDDINGS
.......................................................................... 198
8.1
Planar Graphs and Duality
....................................................................... 198
8.2
Hamiltonian Plane Graphs
....................................................................... 205
8.3
Maximum Flow in Planar Networks
............................................................ 206
8.4
Graphs on Surfaces (An Informal Treatment)
................................................. 208
Chapter
9
COLORINGS OF GRAPHS
..................................................................... 244
9.1
Vertex Coloring of Graphs
....................................................................... 244
9.2
Edge Coloring of Graphs
......................................................................... 247
9.3
Coloring of Planar Graphs
....................................................................... 248
IMPORTANT SYMBOLS
.............................................................................................. 286
SELECT BIBLIOGRAPHY
........................................................................................... 287
INDEX
......................................................................................................................... 288
|
| any_adam_object | 1 |
| author | Balakrishnan, V. K. |
| author_facet | Balakrishnan, V. K. |
| author_role | aut |
| author_sort | Balakrishnan, V. K. |
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| bvnumber | BV014665043 |
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| callnumber-sort | QA 3166 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 950 |
| ctrlnum | (OCoLC)36241602 (DE-599)BVBBV014665043 |
| dewey-full | 511/.5/076 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.5/076 |
| dewey-search | 511/.5/076 |
| dewey-sort | 3511 15 276 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre_facet | Aufgabensammlung Lehrbuch |
| id | DE-604.BV014665043 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T15:58:58Z |
| institution | BVB |
| isbn | 0070054894 |
| language | English |
| lccn | 97000090 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009952335 |
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| owner_facet | DE-1051 DE-522 DE-473 DE-BY-UBG DE-898 DE-BY-UBR |
| physical | VIII, 293 S. Ill. : 28 cm |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | Schaum's outline series |
| spellingShingle | Balakrishnan, V. K. Schaum's outline of theory and problems of graph theory Graph theory Outlines, syllabi, etc Graph theory Problems, exercises, etc Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4143389-0 (DE-588)4123623-3 |
| title | Schaum's outline of theory and problems of graph theory |
| title_alt | Theory and problems of graph theory Graph theory Schaum's outlines graph theory |
| title_auth | Schaum's outline of theory and problems of graph theory |
| title_exact_search | Schaum's outline of theory and problems of graph theory |
| title_full | Schaum's outline of theory and problems of graph theory V.K. Balakrishnan |
| title_fullStr | Schaum's outline of theory and problems of graph theory V.K. Balakrishnan |
| title_full_unstemmed | Schaum's outline of theory and problems of graph theory V.K. Balakrishnan |
| title_short | Schaum's outline of theory and problems of graph theory |
| title_sort | schaum s outline of theory and problems of graph theory |
| topic | Graph theory Outlines, syllabi, etc Graph theory Problems, exercises, etc Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Graph theory Outlines, syllabi, etc Graph theory Problems, exercises, etc Graphentheorie Aufgabensammlung Lehrbuch |
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