Discrete Mathematics and Applications

Scope & Guideline

Advancing the Frontiers of Discrete and Applied Mathematics.

Introduction

Explore the comprehensive scope of Discrete Mathematics and Applications through our detailed guidelines, including its aims and scope. Stay updated with trending and emerging topics, and delve into declining areas to understand shifts in academic interest. Our guidelines also showcase highly cited topics, featuring influential research making a significant impact. Additionally, discover the latest published papers and those with high citation counts, offering a snapshot of current scholarly conversations. Use these guidelines to explore Discrete Mathematics and Applications in depth and align your research initiatives with current academic trends.
LanguageEnglish
ISSN0924-9265
PublisherWALTER DE GRUYTER GMBH
Support Open AccessNo
CountryGermany
TypeJournal
Convergefrom 1991 to 2024
AbbreviationDISCRET MATH APPL / Discret. Math. Appl.
Frequency6 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressGENTHINER STRASSE 13, D-10785 BERLIN, GERMANY

Aims and Scopes

The journal 'Discrete Mathematics and Applications' focuses on various theoretical aspects of discrete mathematics and its applications, particularly in computer science, information theory, and cryptography. It encompasses a broad range of topics, emphasizing rigorous mathematical analysis and innovative methodologies.
  1. Discrete Structures and Graph Theory:
    The journal publishes research related to various discrete structures including graphs, trees, and networks, exploring their properties, algorithms, and applications.
  2. Combinatorial Mathematics:
    A significant focus is on combinatorial techniques, addressing problems in enumeration, designs, and configurations, often with implications for computer science and optimization.
  3. Probability and Random Processes:
    Research on probabilistic models and random processes, particularly in the context of discrete structures, is prevalent, including studies on random walks, branching processes, and equiprobable mappings.
  4. Boolean Functions and Logic:
    The journal covers the theory and application of Boolean functions, including their complexity, properties, and implementations in circuits and logical systems.
  5. Cryptography and Information Security:
    With a growing interest in security, papers often explore mathematical foundations of cryptography, including analysis of cryptographic protocols and constructions.
  6. Algorithmic Complexity:
    The journal includes studies on the complexity of algorithms, particularly in relation to Boolean functions and circuit design, contributing to the field of theoretical computer science.
Recent publications in 'Discrete Mathematics and Applications' reveal emerging themes and trends that reflect the current interests of researchers in the field. This section outlines these key areas that are gaining traction.
  1. Randomized Algorithms and Processes:
    There is a noticeable increase in research related to random processes and algorithms, including studies on random walks, branching processes, and their applications in various fields.
  2. Complexity of Boolean Functions:
    An emerging focus on the complexity and implementation of Boolean functions highlights their critical role in computer science, particularly in circuit design and optimization.
  3. Applications in Cryptography:
    The intersection of discrete mathematics with cryptography is increasingly prominent, as researchers explore new cryptographic techniques and their mathematical foundations.
  4. Probabilistic Graph Theory:
    Research involving probabilistic models applied to graph theory has gained momentum, indicating a trend towards understanding complex networks through a probabilistic lens.
  5. Interdisciplinary Approaches:
    There is a growing trend towards interdisciplinary research that combines discrete mathematics with areas such as biology, economics, and machine learning, reflecting the applicability of discrete structures in diverse fields.

Declining or Waning

As the field of discrete mathematics evolves, some themes have shown signs of declining interest or frequency in recent publications. This section highlights these waning scopes that may no longer be as prominent in current research.
  1. Traditional Graph Theory:
    While still relevant, traditional graph theory topics such as basic connectivity and classic properties appear less frequently, possibly overshadowed by more applied or computational aspects.
  2. Elementary Combinatorial Techniques:
    Basic combinatorial methods, which were once prevalent in earlier publications, are increasingly replaced by more sophisticated and integrated approaches that combine various mathematical fields.
  3. Static Analysis of Discrete Structures:
    Research focusing solely on static properties of discrete structures without considering dynamic or probabilistic aspects seems to be declining, reflecting a shift towards more applied and practical investigations.

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