Titlebook: Discrete Mathematics and Applications; Andrei M. Raigorodskii,Michael Th. Rassias Book 2020 Springer Nature Switzerland AG 2020 methods of

interior

Prime Difference Champions,a associated with prime differences. Unconditionally we prove that the PDCs go to infinity and further have asymptotically the same number of prime factors when counted logarithmically as the primorials.

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后退

The Dynamics of Interbank Networks,bank market. Several aspects of this problem can be characterized in terms of the minimal elements of .., . ∈ ., for example, the propagation of an initial shock through the network as well as the equilibrium points of the network.

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Book 2020te students and researchers in optimization, mathematics,  computer science, economics, and physics will find the wide range of interdisciplinary topics, methods, and applications covered in this book engaging and useful.. .

Merited

The Number of Partitions of a Set and Superelliptic Diophantine Equations,generating functions, recurrences and numerical examples. The coefficients arising from these formulae are then linked to certain elliptic and superelliptic Diophantine equations, which are investigated using some methods from Algebraic Geometry and Number Theory, as well as specialized software too

礼节

The Exponent of a Group: Properties, Computations and Applications,nnexions we present are original or they are presented in a new form. The last section explores general results about the exponent of certain finite groups of matrices. We will explicitly compute the exponent for . and ., when . ∈{2, 3} and . is a positive integer.

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Perfect Hash Families: The Generalization to Higher Indices,ms are completely separated by at least a specified number of chosen partitions. This specified number is the index of the hash family. The case when each .-set must be separated at least once has been extensively researched; they arise in diverse applications, both directly and as fundamental ingre

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A Note on Randomly Colored Matchings in Random Bipartite Graphs,color of .. The perfect matching color profile .(.) is defined to be the set of vectors (.., .., …, ..) ∈ [.]. such that there exists a perfect matching . such that |. ∩ ..| = ... We give bounds on the matching color profile for a randomly colored random bipartite graph.