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The Resource Optimal Interconnection Trees in the Plane : Theory, Algorithms and Applications, by Marcus Brazil, Martin Zachariasen, (electronic resource)

Optimal Interconnection Trees in the Plane : Theory, Algorithms and Applications, by Marcus Brazil, Martin Zachariasen, (electronic resource)

Creator
Author
Contributor
Summary
This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematical framework within which the properties of such optimal interconnection networks can be understood across a wide range of metrics and cost functions. The book makes use of this mathematical theory to develop efficient algorithms for constructing such networks, with an emphasis on exact solutions. Marcus Brazil and Martin Zachariasen focus principally on the geometric structure of optimal interconnection networks, also known as Steiner trees, in the plane. They show readers how an understanding of this structure can lead to practical exact algorithms for constructing such trees. The book also details numerous breakthroughs in this area over the past 20 years, features clearly written proofs, and is supported by 135 colour and 15 black and white figures. It will help graduate students, working mathematicians, engineers and computer scientists to understand the principles required for designing interconnection networks in the plane that are as cost efficient as possible
Language
eng
Work
Publication
Extent
XVII, 344 p. 150 illus., 135 illus. in color.
Contents
  • Preface:- 1 Euclidean and Minkowski Steiner Trees
  • 2 Fixed Orientation Steiner Trees
  • 3 Rectilinear Steiner Trees
  • 4 Steiner Trees with Other Costs and Constraints
  • 5 Steiner Trees in Graphs and Hypergraphs
  • A Appendix
Isbn
9783319139159
Instance
Label
Optimal Interconnection Trees in the Plane : Theory, Algorithms and Applications
Title
Optimal Interconnection Trees in the Plane
Title remainder
Theory, Algorithms and Applications
Statement of responsibility
by Marcus Brazil, Martin Zachariasen
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems. It presents, for the first time in the literature, a cohesive mathematical framework within which the properties of such optimal interconnection networks can be understood across a wide range of metrics and cost functions. The book makes use of this mathematical theory to develop efficient algorithms for constructing such networks, with an emphasis on exact solutions. Marcus Brazil and Martin Zachariasen focus principally on the geometric structure of optimal interconnection networks, also known as Steiner trees, in the plane. They show readers how an understanding of this structure can lead to practical exact algorithms for constructing such trees. The book also details numerous breakthroughs in this area over the past 20 years, features clearly written proofs, and is supported by 135 colour and 15 black and white figures. It will help graduate students, working mathematicians, engineers and computer scientists to understand the principles required for designing interconnection networks in the plane that are as cost efficient as possible
Member of
http://library.link/vocab/creatorName
Brazil, Marcus
Image bit depth
0
LC call number
QA164-167.2
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Zachariasen, Martin
  • SpringerLink
Series statement
Algorithms and Combinatorics,
Series volume
29
http://library.link/vocab/subjectName
  • Mathematics
  • Computational complexity
  • Algorithms
  • Combinatorial analysis
  • Geometry
  • Mathematical optimization
  • Engineering mathematics
  • Mathematics
  • Combinatorics
  • Discrete Mathematics in Computer Science
  • Geometry
  • Optimization
  • Algorithms
  • Appl.Mathematics/Computational Methods of Engineering
Label
Optimal Interconnection Trees in the Plane : Theory, Algorithms and Applications, by Marcus Brazil, Martin Zachariasen, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface:- 1 Euclidean and Minkowski Steiner Trees -- 2 Fixed Orientation Steiner Trees -- 3 Rectilinear Steiner Trees -- 4 Steiner Trees with Other Costs and Constraints -- 5 Steiner Trees in Graphs and Hypergraphs -- A Appendix
Dimensions
unknown
Extent
XVII, 344 p. 150 illus., 135 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319139159
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-13915-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-13915-9
Label
Optimal Interconnection Trees in the Plane : Theory, Algorithms and Applications, by Marcus Brazil, Martin Zachariasen, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Preface:- 1 Euclidean and Minkowski Steiner Trees -- 2 Fixed Orientation Steiner Trees -- 3 Rectilinear Steiner Trees -- 4 Steiner Trees with Other Costs and Constraints -- 5 Steiner Trees in Graphs and Hypergraphs -- A Appendix
Dimensions
unknown
Extent
XVII, 344 p. 150 illus., 135 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319139159
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-13915-9
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-13915-9

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