Counting, sampling and integrating: algorithms and complexity
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel <<[u.a.]>>
Birkhäuser
2003
|
| Series: | Lectures in mathematics : ETH Zürich
|
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018479098&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Physical Description: | XI, 112 S. graph. Darst. |
| ISBN: | 3764369469 |
Staff View
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Record in the Search Index
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| adam_text | MARK JERRUM COUNTING, SAMPLING AND INTEGRATING: ALGORITHMS AND
COMPLEXITY BIRKHAEUSER VERLAG BASEL * BOSTON * BERLIN CONTENTS FOREWORD
IX 1 TWO GOOD COUNTING ALGORITHMS 1 1.1 SPANNING TREES 1 1.2 PERFECT
MATCHINGS IN A PLANAR GRAPH 5 2 #P-COMPLETENESS 11 2.1 THE CLASS #P 13
2.2 A PRIMAL #P-COMPLETE PROBLEM 15 2.3 COMPUTING THE PERMANENT IS HARD
ON AVERAGE 21 3 SAMPLING AND COUNTING 25 3.1 PRELIMINARIES 25 3.2
REDUCING APPROXIMATE COUNTING TO ALMOST UNIFORM SAMPLING 28 3.3 MARKOV
CHAINS 30 4 COUPLING AND COLOURINGS 33 4.1 COLOURINGS OF A LOW-DEGREE
GRAPH 33 4.2 BOUNDING MIXING TIME USING COUPLING 36 4.3 PATH COUPLING 41
5 CANONICAL PATHS AND MATCHINGS 49 5.1 MATCHINGS IN A GRAPH 49 5.2
CANONICAL PATHS 51 5.3 BACK TO MATCHINGS 56 5.4 EXTENSIONS AND FURTHER
APPLICATIONS 62 5.5 CONTINUOUS TIME 63 6 VOLUME OF A CONVEX BODY 65 6.1
A FEW REMARKS ON MARKOV CHAINS WITH CONTINUOUS STATE SPACE 67 6.2
INVARIANT MEASURE OF THE BALL WALK 68 VIII CONTENTS 6.3 MIXING RATE OF
THE BALL WALK 72 6.4 PROOF OF THE POINCARE INEQUALITY (THEOREM 6.7) 74
6.5 PROOFS OF THE GEOMETRIC LEMMAS 82 6.6 RELAXING THE CURVATURE
CONDITION 85 6.7 USING SAMPLES TO ESTIMATE VOLUME 89 6.8 APPENDIX: A
PROOF OF COROLLARY 6.8 91 7 INAPPROXIMABILITY 93 7.1 INDEPENDENT SETS IN
A LOW DEGREE GRAPH 96 BIBLIOGRAPHY 105
|
| any_adam_object | 1 |
| author | Jerrum, Mark 1955- |
| author_GND | (DE-588)12443133X |
| author_facet | Jerrum, Mark 1955- |
| author_role | aut |
| author_sort | Jerrum, Mark 1955- |
| author_variant | m j mj |
| building | Verbundindex |
| bvnumber | BV024504519 |
| classification_rvk | SK 890 |
| ctrlnum | (OCoLC)611931728 (DE-599)BVBBV024504519 |
| dewey-full | 511.62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.62 |
| dewey-search | 511.62 |
| dewey-sort | 3511.62 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV024504519 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:56:52Z |
| institution | BVB |
| isbn | 3764369469 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018479098 |
| oclc_num | 611931728 |
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| owner | DE-83 DE-11 |
| owner_facet | DE-83 DE-11 |
| physical | XI, 112 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Lectures in mathematics : ETH Zürich |
| spellingShingle | Jerrum, Mark 1955- Counting, sampling and integrating algorithms and complexity Komplexitätstheorie (DE-588)4120591-1 gnd Stochastische Optimierung (DE-588)4057625-5 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd |
| subject_GND | (DE-588)4120591-1 (DE-588)4057625-5 (DE-588)4031826-6 |
| title | Counting, sampling and integrating algorithms and complexity |
| title_auth | Counting, sampling and integrating algorithms and complexity |
| title_exact_search | Counting, sampling and integrating algorithms and complexity |
| title_full | Counting, sampling and integrating algorithms and complexity Mark Jerrum |
| title_fullStr | Counting, sampling and integrating algorithms and complexity Mark Jerrum |
| title_full_unstemmed | Counting, sampling and integrating algorithms and complexity Mark Jerrum |
| title_short | Counting, sampling and integrating |
| title_sort | counting sampling and integrating algorithms and complexity |
| title_sub | algorithms and complexity |
| topic | Komplexitätstheorie (DE-588)4120591-1 gnd Stochastische Optimierung (DE-588)4057625-5 gnd Kombinatorische Optimierung (DE-588)4031826-6 gnd |
| topic_facet | Komplexitätstheorie Stochastische Optimierung Kombinatorische Optimierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018479098&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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