Schaum's outline of theory and problems of graph theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
McGraw-Hill
1997
|
| Series: | Schaum's outline series
|
| Subjects: | |
| Online Access: | Publisher description Table of contents Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke. - Includes bibliographical references (S. 287) and index |
| Physical Description: | VIII, 293 S. Ill. : 28 cm |
| ISBN: | 0070054894 |
Staff View
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV014665043 | ||
| 003 | DE-604 | ||
| 005 | 20120829 | ||
| 007 | t | ||
| 008 | 020820s1997 xxua||| |||| 00||| eng d | ||
| 010 | |a 97000090 | ||
| 020 | |a 0070054894 |c pbk. |9 0-07-005489-4 | ||
| 035 | |a (OCoLC)36241602 | ||
| 035 | |a (DE-599)BVBBV014665043 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a xxu |c US | ||
| 049 | |a DE-1051 |a DE-522 |a DE-473 |a DE-898 | ||
| 050 | 0 | |a QA166 | |
| 082 | 0 | |a 511/.5/076 |2 21 | |
| 084 | |a SK 950 |0 (DE-625)143273: |2 rvk | ||
| 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 | |
| 856 | 4 | 2 | |m Digitalisierung UB Bamberg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009952335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009952335 | ||
Record in the Search Index
| _version_ | 1804129420143755264 |
|---|---|
| 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. |
| author_variant | v k b vk vkb |
| building | Verbundindex |
| bvnumber | BV014665043 |
| callnumber-first | Q - Science |
| callnumber-label | QA166 |
| callnumber-raw | QA166 |
| callnumber-search | QA166 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02011nam a2200493zc 4500</leader><controlfield tag="001">BV014665043</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120829 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020820s1997 xxua||| |||| 00||| eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">97000090</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0070054894</subfield><subfield code="c">pbk.</subfield><subfield code="9">0-07-005489-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)36241602</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014665043</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">xxu</subfield><subfield code="c">US</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-1051</subfield><subfield code="a">DE-522</subfield><subfield code="a">DE-473</subfield><subfield code="a">DE-898</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA166</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511/.5/076</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 950</subfield><subfield code="0">(DE-625)143273:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Balakrishnan, V. K.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Schaum's outline of theory and problems of graph theory</subfield><subfield code="c">V.K. Balakrishnan</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Theory and problems of graph theory</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Graph theory</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Schaum's outlines graph theory</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York</subfield><subfield code="b">McGraw-Hill</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 293 S.</subfield><subfield code="b">Ill. : 28 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Schaum's outline series</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke. - Includes bibliographical references (S. 287) and index</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Graph theory</subfield><subfield code="v">Outlines, syllabi, etc</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Graph theory</subfield><subfield code="v">Problems, exercises, etc</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Graphentheorie</subfield><subfield code="0">(DE-588)4113782-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4143389-0</subfield><subfield code="a">Aufgabensammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Graphentheorie</subfield><subfield code="0">(DE-588)4113782-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/description/mh022/97000090.html</subfield><subfield code="3">Publisher description</subfield></datafield><datafield tag="856" ind1="4" ind2=" "><subfield code="u">http://www.loc.gov/catdir/toc/mh022/97000090.html</subfield><subfield code="3">Table of contents</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Bamberg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009952335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009952335</subfield></datafield></record></collection> |
| genre | (DE-588)4143389-0 Aufgabensammlung gnd-content (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Aufgabensammlung Lehrbuch |
| id | DE-604.BV014665043 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:04:51Z |
| institution | BVB |
| isbn | 0070054894 |
| language | English |
| lccn | 97000090 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009952335 |
| oclc_num | 36241602 |
| open_access_boolean | |
| owner | DE-1051 DE-522 DE-473 DE-BY-UBG DE-898 DE-BY-UBR |
| 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 |
| spelling | Balakrishnan, V. K. Verfasser aut Schaum's outline of theory and problems of graph theory V.K. Balakrishnan Theory and problems of graph theory Graph theory Schaum's outlines graph theory New York McGraw-Hill 1997 VIII, 293 S. Ill. : 28 cm txt rdacontent n rdamedia nc rdacarrier Schaum's outline series Hier auch später erschienene, unveränderte Nachdrucke. - Includes bibliographical references (S. 287) and index Graph theory Outlines, syllabi, etc Graph theory Problems, exercises, etc Graphentheorie (DE-588)4113782-6 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content (DE-588)4123623-3 Lehrbuch gnd-content Graphentheorie (DE-588)4113782-6 s DE-604 http://www.loc.gov/catdir/description/mh022/97000090.html Publisher description http://www.loc.gov/catdir/toc/mh022/97000090.html Table of contents Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009952335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| 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 |
| url | http://www.loc.gov/catdir/description/mh022/97000090.html http://www.loc.gov/catdir/toc/mh022/97000090.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009952335&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT balakrishnanvk schaumsoutlineoftheoryandproblemsofgraphtheory AT balakrishnanvk theoryandproblemsofgraphtheory AT balakrishnanvk graphtheory AT balakrishnanvk schaumsoutlinesgraphtheory |