Graphs, Dioids and Semirings (Record no. 38496)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03989n a2200469#a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 5000064 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20221213140638.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100301s2008 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780387754505 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-0-387-75450-5 |
| Source of number or code | doi |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | 978-0-387-75450-5 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | KJT |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | KJM |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | BUS049000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | BUS042000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.6 |
| 090 ## - IMPA CODE FOR CLASSIFICATION SHELVES | |
| IMPA CODE FOR CLASSIFICATION SHELVES | Matemáticas Gerais-(inclusive alguns textos elementares sobre assuntos específicos) |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Gondran, Michel |
| 9 (RLIN) | 39084 |
| 245 10 - TITLE STATEMENT | |
| Title | Graphs, Dioids and Semirings |
| Medium | [electronic resource]: |
| Remainder of title | New Models and Algorithms/ |
| Statement of responsibility, etc. | by Michel Gondran, Michel Minoux. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Boston: |
| Name of publisher, distributor, etc. | Springer US, |
| Date of publication, distribution, etc. | 2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Other physical details | digital. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Operations Research/Computer Science Interfaces, |
| International Standard Serial Number | 1387-666X; |
| Volume/sequential designation | 41 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Pre-Semirings, Semirings and Dioïds -- Combinatorial Properties of (Pre-) Semirings -- Topology in Ordered Sets/ Topological Dioïds -- Solving Linear Systems in Dioïds -- Linear Dependence and Independence in Semi-Modules and Moduloïds -- Eigenvalues and Eigenvectors of Endomorphisms -- Dioïds and Nonlinear Analyses -- Collected Examples of Monoïds, (Pre-) Semirings and Dioïds -- Bibliography -- Index . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The origins of Graph Theory date back to Euler (1736) with the solution of the celebrated 'Koenigsberg Bridges Problem'; and to Hamilton with the famous 'Trip around the World' game (1859), stating for the first time a problem which, in its most recent version the 'Traveling Salesman Problem' -, is still the subject of active research. Yet, it has been during the last fifty years or sowith the rise of the electronic computersthat Graph theory has become an indispensable discipline in terms of the number and importance of its applications across the Applied Sciences. Graph theory has been especially central to Theoretical and Algorithmic Computer Science, and Automatic Control, Systems Optimization, Economy and Operations Research, Data Analysis in the Engineering Sciences. Close connections between graphs and algebraic structures have been widely used in the analysis and implementation of efficient algorithms for many problems, for example: transportation network optimization, telecommunication network optimization and planning, optimization in scheduling and production systems, etc. The primary objectives of GRAPHS, DIOÏDS AND SEMIRINGS: New Models and Algorithms are to emphasize the deep relations existing between the semiring and dioïd structures with graphs and their combinatorial properties, while demonstrating the modeling and problem-solving capability and flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by "nonclassical" algebraic structures, which either extend usual algebra (i.e., semirings), or correspond to a new branch of algebra (i.e., dioïds), apart from the classical structures of groups, rings, and fields . |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| 9 (RLIN) | 43458 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computer network architectures |
| 9 (RLIN) | 9339 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Computational complexity. |
| 9 (RLIN) | 43792 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Combinatorics |
| 9 (RLIN) | 9068 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Operations research |
| 9 (RLIN) | 37596 |
| 697 ## - LOCAL SUBJECT | |
| Local Subject | Matemáticas Gerais- |
| Description subdivision | (inclusive alguns textos elementares sobre assuntos específicos) |
| Linkage | 23752 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Minoux, Michel |
| 9 (RLIN) | 39069 |
| 710 1# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service). |
| 9 (RLIN) | 8857 |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Printed edition: |
| International Standard Book Number | 9780387754499 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Operations Research/Computer Science Interfaces; |
| Volume/sequential designation | 41 |
| 9 (RLIN) | 9340 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-0-387-75450-5">http://dx.doi.org/10.1007/978-0-387-75450-5</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Instituto de Matemática Pura e Aplicada |
| Koha item type | E-Book |
No items available.