Results 11 to 20 of about 68,778 (203)
Advances in Discrete Mathematics: From Combinatorics to Cryptography
Discrete mathematics forms the foundation for various fields, including computer science and cryptography, by providing essential tools for problem-solving in discrete structures. This paper explores the advancements in discrete mathematics, focusing on combinatorics and cryptography.
Romi Bala, Hemant Pandey
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Quasirandomness in discrete mathematics, additive combinatorics and group theory
The main objective of this bachelor's thesis will be to present the concept of quasirandomness in various mathematical contexts while proving all the pertinent results. We will introduce the results of Fan Chung and Ronald Graham on quasirandom graphs and quasirandom sets, and the results of Timothy Gowers on quasirandom groups.
Adrián Hernández Ramos
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The agreement distance of unrooted phylogenetic networks [PDF]
A rearrangement operation makes a small graph-theoretical change to a phylogenetic network to transform it into another one. For unrooted phylogenetic trees and networks, popular rearrangement operations are tree bisection and reconnection (TBR) and ...
Jonathan Klawitter
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On the shelling antimatroids of split graphs [PDF]
Chordal graph shelling antimatroids have received little attention with regard to their combinatorial properties and related optimization problems, as compared to the case of poset shelling antimatroids.
Jean Cardinal +2 more
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Taking-and-merging games as rewrite games [PDF]
This work is a contribution to the study of rewrite games. Positions are finite words, and the possible moves are defined by a finite number of local rewriting rules.
Eric Duchêne +3 more
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Stable gonality is computable [PDF]
Stable gonality is a multigraph parameter that measures the complexity of a graph. It is defined using maps to trees. Those maps, in some sense, divide the edges equally over the edges of the tree; stable gonality asks for the map with the minimum number
Ragnar Groot Koerkamp +1 more
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The Principle of Mathematical Induction: Applications in Physical Optics
The bare rudiments of the principle of mathematical induction as a method of proof date back to ancient times. In the contemporary university milieu, the demonstrative scheme is taught as part of a course in discrete mathematics, set theory, number ...
Joseph Ivin Thomas
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The agreement distance of rooted phylogenetic networks [PDF]
The minimal number of rooted subtree prune and regraft (rSPR) operations needed to transform one phylogenetic tree into another one induces a metric on phylogenetic trees - the rSPR-distance.
Jonathan Klawitter
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The Recurrence Relations in Teaching Students of Informatics
The topic ``Recurrence relations'' and its place in teaching students of Informatics is discussed in this paper. We represent many arguments about the importance, the necessity and the benefit of studying this subject by Informatics students.
Valentin P. BAKOEV
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Towards an Algebra for Cascade Effects [PDF]
We introduce a new class of (dynamical) systems that inherently capture cascading effects (viewed as consequential effects) and are naturally amenable to combinations.
Elie M. Adam +2 more
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