Discrete Analysis
Scope & Guideline
Exploring the Depths of Combinatorics and Geometry
Introduction
Aims and Scopes
- Combinatorial Structures and Theorems:
The journal emphasizes research on combinatorial structures such as graphs, hypergraphs, and their properties, often exploring foundational theorems like Szemerédi's theorem and Turán's theorem. - Approximation and Learning Theory:
A significant focus is on the approximation of functions, particularly Boolean functions, and their learning complexities, leveraging tools from both combinatorial and computational perspectives. - Analytic Number Theory and Additive Combinatorics:
Research in this area explores additive properties of integers and other discrete structures, often using techniques from analytic number theory to address problems like the Kakeya problem and sum-product phenomena. - Algebraic and Geometric Methods:
The journal publishes work that employs algebraic techniques and geometric interpretations in discrete settings, such as the study of tensors and polynomial mappings. - Probabilistic Methods in Combinatorics:
There is a growing interest in the use of probabilistic methods to study discrete structures, including random graphs and the behavior of random variables within discrete settings.
Trending and Emerging
- High-Dimensional Combinatorics:
Research exploring high-dimensional structures and their properties is on the rise, with a focus on understanding complex interactions in higher dimensions, such as in problems involving tensors and higher-order polynomials. - Interplay Between Discrete Structures and Probability:
There is an increasing trend towards integrating probabilistic methods with combinatorial and algebraic structures, highlighting the randomness in discrete settings and its implications for various mathematical problems. - Quantitative Approaches to Classical Theorems:
Recent works emphasize quantitative bounds and approaches to classical theorems, indicating a shift towards not just proving existence but providing explicit bounds and constructions. - Applications of Discrete Mathematics in Computer Science:
As computational applications grow, there is a noticeable increase in research that connects discrete mathematics with theoretical computer science, particularly in areas like learning theory and algorithm analysis.
Declining or Waning
- Classical Graph Theory:
Research focused on classical problems in graph theory, such as chromatic numbers and graph colorings, has seen a decrease in prominence compared to newer, more complex combinatorial structures. - Elementary Techniques in Combinatorics:
There is a noticeable decline in the publication of papers relying solely on elementary combinatorial techniques, as more researchers are gravitating towards advanced methods involving algebraic and analytic approaches. - Traditional Number Theory Problems:
While number theory remains a core area, traditional problems without a combinatorial twist, such as elementary divisibility and congruences, have become less frequent in the journal's recent issues.
Similar Journals
Discrete Mathematics Letters
Unlocking innovative insights in Combinatorics.Discrete Mathematics Letters is a prominent open-access journal dedicated to advancing the field of Discrete Mathematics and Combinatorics, published by Shahin Digital Publisher. Since its inception in 2019, this journal has rapidly established its presence in the academic community, securing a respectable Q2 category ranking in the 2023 Scopus database, positioning itself at rank #45 out of 92 in its field, making it a valuable resource for researchers and practitioners alike. With a commitment to disseminating high-quality research, Discrete Mathematics Letters provides an accessible medium for sharing innovative ideas and findings within the mathematical sciences, ensuring that researchers, students, and professionals stay informed about the latest developments. As an open-access journal, it provides free access to publications, fostering collaboration and knowledge exchange among the global research community.
Pure and Applied Mathematics Quarterly
Advancing the Frontiers of Mathematical KnowledgePure and Applied Mathematics Quarterly is a prestigious journal published by INT PRESS BOSTON, INC, focusing on the diverse and evolving field of mathematics. Since its inception in 2007, this journal has grown significantly, currently holding a Q1 ranking in the Mathematics (Miscellaneous) category for 2023, positioning it among the leading publications in the discipline. With a commitment to publishing high-quality research, Pure and Applied Mathematics Quarterly fosters innovation and dialogue within the mathematical community by providing a platform for theoretical advancements and practical applications. The journal remains accessible to researchers and professionals through its ISSN 1558-8599 and E-ISSN 1558-8602, although it does not currently offer open access. As a vital resource for mathematicians, educators, and students, this journal endeavors to expand the frontiers of mathematical knowledge and contribute to the academic dialogue surrounding this fundamental science.
Forum of Mathematics Pi
Exploring the Depths of Mathematical InnovationForum of Mathematics Pi, published by Cambridge University Press, stands at the forefront of mathematical research, providing an open-access platform since 2013. With an ISSN of 2050-5086, this journal has rapidly established itself within the mathematical community, particularly noted for its high impact in the realms of Algebra and Number Theory, Analysis, Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics, and Statistics and Probability, as evidenced by its 2023 Q1 rankings across these categories. Its placement within the top quartile signifies its importance and influence, attracting submissions from leading researchers and academicians around the globe. The journal’s diverse scope and rigorous peer-review process ensure a high standard of scholarly excellence, making it an indispensable resource for professionals, students, and researchers eager to stay informed about cutting-edge mathematical advancements. Access to its comprehensive array of articles is openly available, promoting a culture of collaboration and knowledge sharing in the mathematics community.
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
Fostering collaboration and innovation in mathematics.Canadian Journal of Mathematics - Journal Canadien de Mathématiques is a prestigious peer-reviewed journal published by Cambridge University Press, which aims to advance the field of mathematics through the dissemination of high-quality research articles. With its ISSN 0008-414X and E-ISSN 1496-4279, the journal plays a pivotal role in fostering mathematical research and collaboration. It has been recognized for its impactful contributions, currently holding a category quartile ranking of Q2 in Mathematics (miscellaneous) for 2023 and sits in the 66th percentile among its peers according to Scopus rankings. As the journal continues its convergence from its inception in 1994 through to 2024, it remains a vital resource for researchers, professionals, and students seeking to stay at the forefront of mathematical developments. The journal does not operate under an open access model, allowing for a curated collection of articles that adhere to rigorous academic standards.
AKCE International Journal of Graphs and Combinatorics
Fostering Global Collaboration in Discrete Mathematics.AKCE International Journal of Graphs and Combinatorics, published by TAYLOR & FRANCIS LTD, serves as a significant platform in the field of Discrete Mathematics and Combinatorics. With its commitment to open access since 2015, the journal ensures that cutting-edge research is readily available to a global audience, promoting the dissemination of knowledge and high-quality scholarship. Recognized for its impact in the discipline, the journal is currently ranked Q3 in its category for 2023 and holds a commendable Scopus ranking, falling within the 69th percentile. Researchers, professionals, and students alike will find invaluable insights and contributions in this journal, which spans a wide range of topics related to graph theory and combinatorial structures. Operating from its base in India, and converging from 2011 to 2024, the AKCE International Journal invites submissions that push the boundaries of mathematical exploration and foster innovative methodologies in a rapidly evolving field.
Discrete Mathematics and Applications
Advancing the Frontiers of Discrete and Applied Mathematics.Discrete Mathematics and Applications, published by WALTER DE GRUYTER GMBH, is a vital academic journal catering to the expansive fields of Discrete Mathematics and Applied Mathematics. With an ISSN of 0924-9265 and an E-ISSN of 1569-3929, it serves as a reputable platform for disseminating innovative research and developments within these domains. The journal has been contributing to the academic landscape since its inception in 1991 and continues to actively publish impactful studies through 2024. Despite its current positioning in Q4 of both the Applied Mathematics and Discrete Mathematics and Combinatorics categories, the journal is dedicated to fostering essential discussions that advance understanding and application of discrete mathematical concepts. It provides researchers, professionals, and students with access to a wealth of knowledge, encouraging collaboration and growth within the field. With its strategic German headquarters in Berlin and a focused aim to enhance the visibility and significance of discrete mathematics in real-world applications, Discrete Mathematics and Applications stands out as an important resource for those seeking to contribute to the ongoing evolution of mathematical sciences.
Aequationes Mathematicae
Fostering Excellence in Mathematical Research Globally.Aequationes Mathematicae is a distinguished academic journal published by SPRINGER BASEL AG, focusing on the dynamic fields of Applied Mathematics, Discrete Mathematics, and Combinatorics. Since its inception in 1968, the journal has served as a vital platform for disseminating high-quality research, with Converged Years expected to extend to 2024. With an impressive Q2 ranking in multiple mathematical disciplines as of 2023, Aequationes Mathematicae is positioned within the top half of its field, reflecting its reputation for excellence. Spanning the globe from its base in Basel, Switzerland, this journal is ideal for researchers, professionals, and students seeking to advance their knowledge and contribute to ongoing discussions within mathematics. While it does not currently offer Open Access options, readers can still access an extensive archive of impactful studies that bolster its standing within the academic community.
REVISTA MATEMATICA IBEROAMERICANA
Bridging theory and application in mathematical studies.REVISTA MATEMATICA IBEROAMERICANA, published by the EUROPEAN MATHEMATICAL SOCIETY, is a leading open-access journal dedicated to advancing the field of mathematics. Since its inception in 1996, the journal has provided a platform for high-quality research up to 2024, achieving a prestigious Q1 ranking in the miscellaneous mathematics category and placing it within the top 77th percentile of the Scopus rankings. Based in Spain, this journal fosters a vibrant academic community by disseminating innovative research, theoretical insights, and applications within the broad scope of mathematics. With its commitment to open access established in 2022, REVISTA MATEMATICA IBEROAMERICANA ensures that groundbreaking research is accessible to scholars, practitioners, and students worldwide, emphasizing the importance of collaboration and knowledge sharing in the mathematical sciences. The journal is a vital resource for anyone invested in the evolution of mathematics, providing a rich array of articles that contribute to both the theoretical and applied landscapes of the discipline.
Annales de l Institut Henri Poincare D
Advancing Mathematical FrontiersAnnales de l Institut Henri Poincare D, published by the esteemed EUROPEAN MATHEMATICAL SOCIETY, is a notable open-access journal dedicated to advancing the fields of mathematics and physics. With an ISSN of 2308-5827 and E-ISSN 2308-5835, this journal has risen to prominence since its inception in 2014, benefiting from a significant level of accessibility since 2022. Based in Germany, it provides a rigorous platform for scholarly research in areas such as Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology, Statistical and Nonlinear Physics, and Statistics and Probability, where it has achieved a Q1 quartile ranking in 2023. With its Scopus ranking reflecting excellent percentile standings, particularly in Algebra and Geometry, Annales de l Institut Henri Poincare D is essential reading for researchers and academics seeking to engage with cutting-edge developments and innovative methodologies in their respective fields. Researchers can find it valuable not only for its high-quality publications but also for its commitment to fostering a global knowledge exchange in mathematics and physics.
JOURNAL OF GRAPH THEORY
Pioneering Research in Discrete Mathematics and CombinatoricsJOURNAL OF GRAPH THEORY, published by WILEY, stands as a pivotal resource in the fields of Discrete Mathematics and Combinatorics, as well as Geometry and Topology. Since its inception in 1977, this esteemed journal has fostered the dissemination of influential research, currently categorized in the prestigious Q1 quartile according to the latest metrics for 2023. With an ISSN of 0364-9024 and an E-ISSN of 1097-0118, it caters to a global readership of researchers, professionals, and students dedicated to advancing their knowledge in graph theory. By maintaining a strong rank in Scopus—39th out of 106 in Geometry and Topology, and 38th out of 92 in Discrete Mathematics and Combinatorics—it reflects its significance and impact within the academic community. Although it does not offer open-access options, its rigorous peer-review process ensures that only high-quality original research is published, thus reinforcing its reputation as a leading journal in this mathematical domain.