The Resource Steiner tree problems in computer communication networks, Dingzhu Du, Xiaodong Hu, (electronic resource)

Steiner tree problems in computer communication networks, Dingzhu Du, Xiaodong Hu, (electronic resource)

Label
Steiner tree problems in computer communication networks
Title
Steiner tree problems in computer communication networks
Statement of responsibility
Dingzhu Du, Xiaodong Hu
Creator
Contributor
Subject
Genre
Language
  • eng
  • eng
Summary
The Steiner tree problem is one of the most important combinatorial optimization problems. It has a long history that can be traced back to the famous mathematician Fermat (1601-1665). This book studies three significant breakthroughs on the Steiner tree problem that were achieved in the 1990s, and some important applications of Steiner tree problems in computer communication networks researched in the past fifteen years. It not only covers some of the most recent developments in Steiner tree problems, but also discusses various combinatorial optimization methods, thus providing a balance between theory and practice
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Du, Dingzhu
Dewey number
004.6
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA166.3
LC item number
.D8 2008
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Hu, Xiaodong
http://library.link/vocab/subjectName
  • Steiner systems
  • Computer networks
Label
Steiner tree problems in computer communication networks, Dingzhu Du, Xiaodong Hu, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Bibliography note
Includes bibliographical references (p. 337-353) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
1. Minimax approach and Steiner ratio. 1.1. Minimax approach. 1.2. Steiner ratio in the Euclidean plane. 1.3. Steiner ratios in other metric spaces. 1.4. Discussions -- 2. k-Steiner ratios and better approximation algorithms. 2.1. k-Steiner ratio. 2.2. Approximations better than minimum spanning tree. 2.3. Discussions -- 3. Geometric partitions and polynomial time approximation schemes. 3.1. Guillotine cut for rectangular partition. 3.2. Portals. 3.3. Banyan and Spanner. 3.4. Discussions -- 4. Grade of service Steiner Tree problem. 4.1. GoSST problem in the Euclidean plane. 4.2. Minimum GoSST problem in graphs. 4.3. Discussions -- 5. Steiner Tree problem for minimal Steiner points. 5.1. In the Euclidean plane. 5.2. In the rectilinear plane. 5.3. In metric spaces. 5.4. Discussions -- 6. Bottleneck Steiner tree problem. 6.1. Complexity study. 6.2. Steinerized minimum spanning tree algorithm. 6.3. 3-restricted Steiner Tree algorithm. 6.4. Discussions -- 7. Steiner k-Tree and k-Path routing problems. 7.1. Problem formulation and complexity study. 7.2. Algorithms for k-Path routing problem. 7.3. Algorithms for k-Tree routing problem. 7.4. Discussions -- 8. Steiner Tree coloring problem. 8.1. Maximum tree coloring. 8.2. Minimum tree coloring. 8.3. Discussions -- 9. Steiner Tree scheduling problem. 9.1. Minimum aggregation time. 9.2. Minimum multicast time problem. 9.3. Discussions -- 10. Survivable Steiner network problem. 10.1. Minimum k-connected Steiner networks. 10.2. Minimum weak two-connected Steiner networks. 10.3. Minimum weak three-edge-connected Steiner networks. 10.4. Discussions
Extent
1 online resource (xiii, 359 p. )
Form of item
online
Isbn
9781281933942
Media category
computer
Media type code
  • c
Other physical details
ill.
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (CKB)1000000000538158
  • (DLC)2008299551
  • (StDuBDS)AH24684965
  • (SSID)ssj0000251328
  • (PQKBManifestationID)11200076
  • (PQKBTitleCode)TC0000251328
  • (PQKBWorkID)10248367
  • (PQKB)11760696
  • (MiAaPQ)EBC1681725
  • (WSP)00001938
  • (EXLCZ)991000000000538158
Label
Steiner tree problems in computer communication networks, Dingzhu Du, Xiaodong Hu, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Bibliography note
Includes bibliographical references (p. 337-353) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
1. Minimax approach and Steiner ratio. 1.1. Minimax approach. 1.2. Steiner ratio in the Euclidean plane. 1.3. Steiner ratios in other metric spaces. 1.4. Discussions -- 2. k-Steiner ratios and better approximation algorithms. 2.1. k-Steiner ratio. 2.2. Approximations better than minimum spanning tree. 2.3. Discussions -- 3. Geometric partitions and polynomial time approximation schemes. 3.1. Guillotine cut for rectangular partition. 3.2. Portals. 3.3. Banyan and Spanner. 3.4. Discussions -- 4. Grade of service Steiner Tree problem. 4.1. GoSST problem in the Euclidean plane. 4.2. Minimum GoSST problem in graphs. 4.3. Discussions -- 5. Steiner Tree problem for minimal Steiner points. 5.1. In the Euclidean plane. 5.2. In the rectilinear plane. 5.3. In metric spaces. 5.4. Discussions -- 6. Bottleneck Steiner tree problem. 6.1. Complexity study. 6.2. Steinerized minimum spanning tree algorithm. 6.3. 3-restricted Steiner Tree algorithm. 6.4. Discussions -- 7. Steiner k-Tree and k-Path routing problems. 7.1. Problem formulation and complexity study. 7.2. Algorithms for k-Path routing problem. 7.3. Algorithms for k-Tree routing problem. 7.4. Discussions -- 8. Steiner Tree coloring problem. 8.1. Maximum tree coloring. 8.2. Minimum tree coloring. 8.3. Discussions -- 9. Steiner Tree scheduling problem. 9.1. Minimum aggregation time. 9.2. Minimum multicast time problem. 9.3. Discussions -- 10. Survivable Steiner network problem. 10.1. Minimum k-connected Steiner networks. 10.2. Minimum weak two-connected Steiner networks. 10.3. Minimum weak three-edge-connected Steiner networks. 10.4. Discussions
Extent
1 online resource (xiii, 359 p. )
Form of item
online
Isbn
9781281933942
Media category
computer
Media type code
  • c
Other physical details
ill.
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (CKB)1000000000538158
  • (DLC)2008299551
  • (StDuBDS)AH24684965
  • (SSID)ssj0000251328
  • (PQKBManifestationID)11200076
  • (PQKBTitleCode)TC0000251328
  • (PQKBWorkID)10248367
  • (PQKB)11760696
  • (MiAaPQ)EBC1681725
  • (WSP)00001938
  • (EXLCZ)991000000000538158

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