The Steiner tree problem: a tour through graphs, algorithms, and complexity
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Braunschweig [u.a.]
Vieweg
2002
|
| Edition: | 1. ed. |
| Series: | Advanced lectures in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 241 S. Ill., graph. Darst. |
| ISBN: | 3528067624 |
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| 245 | 1 | 0 | |a The Steiner tree problem |b a tour through graphs, algorithms, and complexity |c Hans Jürgen Prömel ; Angelika Steger |
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Record in the Search Index
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| adam_text | HANS JURGEN PROMEL ANGELIKA STEGER THE STEINER TREE PROBLEM A TOUR
THROUGH GRAPHS, ALGORITHMS, AND COMPLEXITY VIEWEG CONTENTS 1 BASICS I:
GRAPHS 1 1.1 INTRODUCTION TO GRAPH THEORY 1 1.2 EXCURSION: RANDOM GRAPHS
9 2 BASICS II: ALGORITHMS 23 2.1 INTRODUCTION TO ALGORITHMS 23 2.2 -
EXCURSION: FIBONACCI HEAPS AND AMORTIZED TIME 31 3 BASICS III:
COMPLEXITY 41 3.1 INTRODUCTION TO COMPLEXITY THEORY 42 3.2 EXCURSION:
MORE NP-COMPLETE PROBLEMS 51 4 SPECIAL TERMINAL SETS 63 4.1 THE SHORTEST
PATH PROBLEM 63 4.2 THE MINIMUM SPANNING TREE PROBLEM 66 4.3 EXCURSION:
MATROIDS AND THE GREEDY ALGORITHM 68 5 EXACT ALGORITHMS 75 5.1 THE
ENUMERATION ALGORITHM 76 5.2 THE DREYFUS-WAGNER ALGORITHM 78 5.3
EXCURSION: DYNAMIC PROGRAMMING 81 6 APPROXIMATION ALGORITHMS 87 6.1 A
SIMPLE ALGORITHM WITH PERFORMANCE RATIO 2 88 6.2 IMPROVING THE TIME
COMPLEXITY 90 6.3 EXCURSION: MACHINE SCHEDULING 95 VIII 7 MORE ON
APPROXIMATION ALGORITHMS 107 7.1 MINIMUM SPANNING TREES IN HYPERGRAPHS
108 7.2 IMPROVING THE PERFORMANCE RATIO I 116 7.3 EXCURSION: THE
COMPLEXITY OF OPTIMIZATION PROBLEMS 121 8 RANDOMNESS HELPS 133 8.1
PROBABILISTIC COMPLEXITY CLASSES 133 8.2 IMPROVING THE PERFORMANCE RATIO
II 139 8.3 AN ALMOST ALWAYS OPTIMAL ALGORITHM 148 8.4 EXCURSION:
PRIMALITY AND CRYPTOGRAPHY 152 9 LIMITS OF APPROXIMABILITY 165 9.1
REDUCING OPTIMIZATION PROBLEMS 165 9.2 APX-COMPLETENESS 174 9.3
EXCURSION: PROBABILISTICALLY CHECKABLE PROOFS 179 10 GEOMETRIC STEINER
PROBLEMS 191 10.1 A CHARACTERIZATION OF RECTILINEAR STEINER MINIMUM
TREES . . . . 192 10.2 THE STEINER RATIOS 199 10.3 AN ALMOST LINEAR TIME
APPROXIMATION SCHEME 204 10.4 EXCURSION: THE EUCLIDEAN STEINER PROBLEM
212 BIBLIOGRAPHY 223 INDEX 233 SYMBOL INDEX 241
|
| any_adam_object | 1 |
| author | Prömel, Hans Jürgen 1953- Steger, Angelika 1962- |
| author_GND | (DE-588)109885015 (DE-588)170730433 |
| author_facet | Prömel, Hans Jürgen 1953- Steger, Angelika 1962- |
| author_role | aut aut |
| author_sort | Prömel, Hans Jürgen 1953- |
| author_variant | h j p hj hjp a s as |
| building | Verbundindex |
| bvnumber | BV014151361 |
| callnumber-first | Q - Science |
| callnumber-label | QA166 |
| callnumber-raw | QA166.3 |
| callnumber-search | QA166.3 |
| callnumber-sort | QA 3166.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 170 SK 890 |
| classification_tum | DAT 517f MAT 056f DAT 537f |
| ctrlnum | (OCoLC)49554546 (DE-599)BVBBV014151361 |
| 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 | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| edition | 1. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:58:35Z |
| institution | BVB |
| isbn | 3528067624 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009698726 |
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| physical | VII, 241 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Vieweg |
| record_format | marc |
| series2 | Advanced lectures in mathematics |
| spelling | Prömel, Hans Jürgen 1953- Verfasser (DE-588)109885015 aut The Steiner tree problem a tour through graphs, algorithms, and complexity Hans Jürgen Prömel ; Angelika Steger 1. ed. Braunschweig [u.a.] Vieweg 2002 VII, 241 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advanced lectures in mathematics Algorithmes Algoritmen gtt Bomen (wiskunde) gtt Complexité de calcul (Informatique) Grafentheorie gtt Graphes, Théorie des Steiner, Systèmes de Algorithms Computational complexity Graph theory Steiner systems Steiner-Problem (DE-588)4248342-6 gnd rswk-swf Komplexitätstheorie (DE-588)4120591-1 gnd rswk-swf Steiner-Baum (DE-588)4228498-3 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Steiner-Problem (DE-588)4248342-6 s DE-604 Steiner-Baum (DE-588)4228498-3 s Algorithmus (DE-588)4001183-5 s Komplexitätstheorie (DE-588)4120591-1 s Steger, Angelika 1962- Verfasser (DE-588)170730433 aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009698726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prömel, Hans Jürgen 1953- Steger, Angelika 1962- The Steiner tree problem a tour through graphs, algorithms, and complexity Algorithmes Algoritmen gtt Bomen (wiskunde) gtt Complexité de calcul (Informatique) Grafentheorie gtt Graphes, Théorie des Steiner, Systèmes de Algorithms Computational complexity Graph theory Steiner systems Steiner-Problem (DE-588)4248342-6 gnd Komplexitätstheorie (DE-588)4120591-1 gnd Steiner-Baum (DE-588)4228498-3 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4248342-6 (DE-588)4120591-1 (DE-588)4228498-3 (DE-588)4001183-5 |
| title | The Steiner tree problem a tour through graphs, algorithms, and complexity |
| title_auth | The Steiner tree problem a tour through graphs, algorithms, and complexity |
| title_exact_search | The Steiner tree problem a tour through graphs, algorithms, and complexity |
| title_full | The Steiner tree problem a tour through graphs, algorithms, and complexity Hans Jürgen Prömel ; Angelika Steger |
| title_fullStr | The Steiner tree problem a tour through graphs, algorithms, and complexity Hans Jürgen Prömel ; Angelika Steger |
| title_full_unstemmed | The Steiner tree problem a tour through graphs, algorithms, and complexity Hans Jürgen Prömel ; Angelika Steger |
| title_short | The Steiner tree problem |
| title_sort | the steiner tree problem a tour through graphs algorithms and complexity |
| title_sub | a tour through graphs, algorithms, and complexity |
| topic | Algorithmes Algoritmen gtt Bomen (wiskunde) gtt Complexité de calcul (Informatique) Grafentheorie gtt Graphes, Théorie des Steiner, Systèmes de Algorithms Computational complexity Graph theory Steiner systems Steiner-Problem (DE-588)4248342-6 gnd Komplexitätstheorie (DE-588)4120591-1 gnd Steiner-Baum (DE-588)4228498-3 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Algorithmes Algoritmen Bomen (wiskunde) Complexité de calcul (Informatique) Grafentheorie Graphes, Théorie des Steiner, Systèmes de Algorithms Computational complexity Graph theory Steiner systems Steiner-Problem Komplexitätstheorie Steiner-Baum Algorithmus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009698726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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