Results 61 to 70 of about 1,513 (227)
Mathematics, 2023 The field of mathematics that studies the relationship between algebraic structures and graphs is known as algebraic graph theory. It incorporates concepts from graph theory, which examines the characteristics and topology of graphs, with those from ...
Amal S. Alali +5 more
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Algebraic Connectivity Maximizing Regular Graphs: Special Case Analysis and Depth‐First Search
Concurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.ABSTRACT The algebraic connectivity is an indicator of how well connected a graph is. It also characterizes the convergence speed of some dynamic processes over networks. In this paper, taking into account that homogeneous networks are modeled as regular graphs, we tackle the following problem: given a pair (n,k)$$ \left(n,k\right) $$ of positive ...
Masashi Kurahashi +3 more
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RevOrder: A novel equation format for arithmetic operations in language models
AI Magazine, Volume 46, Issue 4, Winter 2025.Abstract This paper proposes to understand arithmetic operations in Language Models (LM) by framing them as digit‐based reasoning challenges. Our research focuses on arithmetic optimization challenges specific to LLMs, not on solving mathematical word problems.
Si Shen, Peijun Shen, Danhao Zhu
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Zero-divisor graphs of idealizations
Journal of Pure and Applied Algebra, 2006 The authors of the reviewed paper (with \textit{J. Coykendall}) examined in [Commun. Algebra 33, No. 6, 2043--2050 (2005; Zbl 1088.13006)] the preservation, or lack thereof, of the diameter and girth of the graph of a commutative ring under extensions to polynomial and power series rings.
Axtell, Michael, Stickles, Joe
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Compactifications of strata of differentials
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
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Polarization and Gorenstein liaison
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi +3 more
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Radio Number Associated with Zero Divisor Graph
Mathematics, 2020 Radio antennas use different frequency bands of Electromagnetic (EM) Spectrum for switching signals in the forms of radio waves. Regulatory authorities issue a unique number (unique identifying call sign) to each radio center, that must be used in all ...
Ali N. A. Koam, Ali Ahmad, Azeem Haider
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Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach
Complexity, 2023 The algebraic polynomial plays a significant role in mathematical chemistry to compute the exact expressions of distance-based, degree-distance-based, and degree-based topological indices.
Sourav Mondal +3 more
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Zero-divisor graph of the rings $C_\mathscr{P}(X)$ and $C^\mathscr{P}_\infty(X)$ [PDF]
, 2021 Sudip Kumar Acharyya +2 more
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Conformal optimization of eigenvalues on surfaces with symmetries
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
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