On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs

Mark Korenblit; Vadim E. Levit

doi:10.1007/978-3-030-39219-2_21

On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs

Mark Korenblit
, Vadim E. Levit

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The paper investigates relationship between algebraic expressions and graphs. Our intent is to simplify graph expressions and eventually find their shortest representations. We describe the decomposition method for generating expressions of complete st-dags (two-terminal directed acyclic graphs) and estimate the corresponding expression complexities. Using these findings, we present an upper bound of a length of the shortest expression for every st-dag of order n.

Original language	English
Title of host publication	Algorithms and Discrete Applied Mathematics - 6th International Conference, CALDAM 2020, Proceedings
Editors	Manoj Changat, Sandip Das
Pages	248-259
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-030-39219-2_21
State	Published - 2020
Event	6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020 - Hyderabad, India Duration: 13 Feb 2020 → 15 Feb 2020

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12016 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020
Country/Territory	India
City	Hyderabad
Period	13/02/20 → 15/02/20

Access to Document

10.1007/978-3-030-39219-2_21

Cite this

Korenblit, M., & Levit, V. E. (2020). On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs. In M. Changat, & S. Das (Eds.), Algorithms and Discrete Applied Mathematics - 6th International Conference, CALDAM 2020, Proceedings (pp. 248-259). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12016 LNCS). https://doi.org/10.1007/978-3-030-39219-2_21

Korenblit, Mark ; Levit, Vadim E. / On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs. Algorithms and Discrete Applied Mathematics - 6th International Conference, CALDAM 2020, Proceedings. editor / Manoj Changat ; Sandip Das. 2020. pp. 248-259 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "The paper investigates relationship between algebraic expressions and graphs. Our intent is to simplify graph expressions and eventually find their shortest representations. We describe the decomposition method for generating expressions of complete st-dags (two-terminal directed acyclic graphs) and estimate the corresponding expression complexities. Using these findings, we present an upper bound of a length of the shortest expression for every st-dag of order n.",

author = "Mark Korenblit and Levit, \{Vadim E.\}",

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Korenblit, M & Levit, VE 2020, On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs. in M Changat & S Das (eds), Algorithms and Discrete Applied Mathematics - 6th International Conference, CALDAM 2020, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12016 LNCS, pp. 248-259, 6th International Conference on Algorithms and Discrete Applied Mathematics, CALDAM 2020, Hyderabad, India, 13/02/20. https://doi.org/10.1007/978-3-030-39219-2_21

On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs. / Korenblit, Mark; Levit, Vadim E.
Algorithms and Discrete Applied Mathematics - 6th International Conference, CALDAM 2020, Proceedings. ed. / Manoj Changat; Sandip Das. 2020. p. 248-259 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12016 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Korenblit M, Levit VE. On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs. In Changat M, Das S, editors, Algorithms and Discrete Applied Mathematics - 6th International Conference, CALDAM 2020, Proceedings. 2020. p. 248-259. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-39219-2_21

On Algebraic Expressions of Two-Terminal Directed Acyclic Graphs

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