Annals of Combinatorics

Scope & Guideline

Shaping the Future of Discrete Mathematics

Introduction

Delve into the academic richness of Annals of Combinatorics with our guidelines, detailing its aims and scope. Our resource identifies emerging and trending topics paving the way for new academic progress. We also provide insights into declining or waning topics, helping you stay informed about changing research landscapes. Evaluate highly cited topics and recent publications within these guidelines to align your work with influential scholarly trends.
LanguageEnglish
ISSN0218-0006
PublisherSPRINGER BASEL AG
Support Open AccessNo
CountrySwitzerland
TypeJournal
Convergefrom 2005 to 2024
AbbreviationANN COMB / Ann. Comb.
Frequency4 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressPICASSOPLATZ 4, BASEL 4052, SWITZERLAND

Aims and Scopes

The Annals of Combinatorics focuses on the rich field of combinatorial mathematics, encompassing various theoretical and applied aspects of combinatorics. The journal emphasizes rigorous mathematical analysis, innovative problem-solving, and the exploration of combinatorial structures and their applications.
  1. Combinatorial Enumeration:
    Research that involves counting, arranging, and structuring discrete objects, often through the use of generating functions and asymptotic analysis.
  2. Graph Theory:
    Exploration of properties and applications of graphs, including extremal graph theory, graph embeddings, and coloring problems.
  3. Algebraic Combinatorics:
    Studies that connect algebraic structures with combinatorial objects, including topics like symmetric functions, polynomials, and representation theory.
  4. Combinatorial Optimization:
    Investigations into optimization problems within combinatorial contexts, such as matching, covering, and partitioning.
  5. Partitional Analysis:
    Research on partitions of integers and their properties, often linked with number theory and algebraic combinatorics.
  6. Geometric Combinatorics:
    Studies that focus on combinatorial properties of geometric objects, including polytopes, tilings, and spatial arrangements.
  7. Probabilistic Combinatorics:
    Application of probabilistic methods to combinatorial problems, often to derive asymptotic results or bounds.
  8. Discrete Structures and Algorithms:
    Research involving discrete mathematical structures and their algorithmic implications, including the design and analysis of algorithms.
Recent publications in the Annals of Combinatorics highlight notable trends and emerging themes that indicate a shift in research interests and methodologies within the field. These themes reflect the journal's responsiveness to contemporary mathematical challenges and innovations.
  1. Algebraic Techniques in Combinatorics:
    There is a growing trend towards utilizing algebraic methods and tools to solve combinatorial problems, indicating a fusion of algebra and combinatorial analysis.
  2. Random Structures and Probabilistic Methods:
    An increased focus on random combinatorial structures and the application of probabilistic methods to derive results suggests a shift towards more empirical and statistical approaches.
  3. Higher-Dimensional Combinatorics:
    Emerging interest in higher-dimensional combinatorial objects and their properties, such as polytopes and simplicial complexes, reflects a broader perspective in combinatorial research.
  4. Applications of Combinatorial Optimization:
    A rising trend in the application of combinatorial optimization techniques to real-world problems, particularly in areas like network design and resource allocation.
  5. Interdisciplinary Connections:
    An increasing number of papers are exploring connections between combinatorics and other fields such as computer science, physics, and biology, indicating a trend towards interdisciplinary research.

Declining or Waning

While the Annals of Combinatorics continues to thrive in many areas, certain themes have shown signs of reduced emphasis in recent publications. This reflects broader shifts in research focus and the evolution of the field.
  1. Classical Number Theory Connections:
    Papers linking combinatorial structures explicitly to classical number theory seem to have less frequency, indicating a potential waning interest in these intersections.
  2. Elementary Combinatorial Techniques:
    Traditional approaches that rely heavily on elementary combinatorial techniques, rather than advanced algebraic or geometric methods, appear to be declining.
  3. Graph Algorithms Based on Classical Techniques:
    Research that primarily explores graph algorithms using classical methods has decreased, as more innovative and complex methods take precedence.
  4. Simple Combinatorial Identities:
    The focus on proving simple combinatorial identities without deeper implications or connections to broader mathematical theories has become less prominent.
  5. Combinatorial Games and Puzzles:
    While still relevant, the focus on combinatorial games and recreational mathematics has diminished in favor of more rigorous and theoretical explorations.

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