Abstract
The paper proposes a symbolic technique for shortest-path problems. This technique is based on a presentation of a shortest-path algorithm as a symbolic expression. Literals of this expression are arc tags of a graph, and they are substituted for corresponding arc weights which appear in the algorithm. The search for the most efficient algorithm is reduced to the construction of the shortest expression. The advantage of this method, compared with classical numeric algorithms, is its stability and faster reaction to data renewal. These problems are solved with reference to two kinds of n-node digraphs: Fibonacci graphs and complete source-target directed acyclic graphs. and complexity algorithms, respectively, are provided in these cases.
Original language | English |
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Title of host publication | ICT Systems and Sustainability - Proceedings of ICT4SD 2019 |
Editors | Milan Tuba, Shyam Akashe, Amit Joshi |
Publisher | Springer |
Pages | 299-307 |
Number of pages | 9 |
ISBN (Print) | 9789811509353 |
DOIs | |
State | Published - 2020 |
Externally published | Yes |
Event | 4th International Conference on ICT for Sustainable Development, ICT4SD 2019 - Panaji, India Duration: 5 Jul 2019 → 6 Jul 2019 |
Publication series
Name | Advances in Intelligent Systems and Computing |
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Volume | 1077 |
ISSN (Print) | 2194-5357 |
ISSN (Electronic) | 2194-5365 |
Conference
Conference | 4th International Conference on ICT for Sustainable Development, ICT4SD 2019 |
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Country/Territory | India |
City | Panaji |
Period | 5/07/19 → 6/07/19 |
Bibliographical note
Publisher Copyright:© 2020, Springer Nature Singapore Pte Ltd.
Keywords
- DAG
- Expression
- Fibonacci graph
- Max-algebra
- Series-parallel graph
- Shortest path