New Perspectives of Graph Theory and Combinatorics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".
Deadline for manuscript submissions: 10 February 2026 | Viewed by 26
Special Issue Editor
Special Issue Information
Dear Colleagues,
Graph theory and combinatorics remain central to modern mathematics, offering a deep well of unsolved problems, rich structural theory, and surprising connections to fields as varied as computer science, statistical physics, and optimization. This Special Issue is dedicated to exploring new perspectives in these areas, particularly topics that have seen recent growth in theoretical depth and computational insight.
We especially encourage submissions in the following areas: domination theory, including total, connected, Roman, and semi-total variants, as well as zero forcing, positive semidefinite zero forcing, power domination, and their connections to linear algebra, propagation processes, and control theory; independence number and related extremal and probabilistic problems; degree sequence problems, including characterizations, realizability questions, and invariants such as the residue of a graph; automated approaches to conjecture generation, including algorithmic heuristics that mimic mathematical discovery; new bounds, characterizations, and structural insights in classical and modern graph parameters; and interdisciplinary work linking combinatorics with algebraic, geometric, or logical methods.
While this Special Issue focuses firmly on the mathematical foundations of graph theory and combinatorics, we also welcome contributions that incorporate computational tools or explore how algorithmic processes can guide intuition and discovery in pure mathematics.
We invite original research articles and well-crafted surveys offering insight into ongoing developments, open problems, or novel frameworks.
Dr. Randy R. Davila
Guest Editor
Manuscript Submission Information
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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- extremal graph theory
- discrete mathematics
- combinatorics
- graph theory
- applied mathematics
- linear algebra
- matrices
- data science
- degree sequence problems
- zero forcing sets
- zero forcing number
- cardinalities
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