Results 51 to 60 of about 1,283,848 (178)

A tropical version of Martens' theorem for metric graphs

Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.
Abstract We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill–Noether rank of a tropical curve. We recall Coppens' counterexample of Martens‐special chain of cycles, and we generalize the construction defining another class of graphs, Martens‐special trees of cycles, for which the conjecture does not ...
Giusi Capobianco, Angelina Zheng
wiley   +1 more source

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, Muhammad Imran, Nilanjan De, Anita Pal   +3 more
doaj   +1 more source

On the maximum likelihood degree of Gaussian graphical models

Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.
Abstract In this paper we revisit the likelihood geometry of Gaussian graphical models. We give a detailed proof that the ML‐degree behaves monotonically on induced subgraphs. Furthermore, we complete a missing argument that the ML‐degree of the nth$n{\rm th}$ cycle is larger than 1 for any n⩾4$n\geqslant 4$, therefore completing the characterization ...
Carlos Améndola, Rodica Andreea Dinu, Mateusz Michałek, Martin Vodička   +3 more
wiley   +1 more source

Sombor index of zero-divisor graphs of commutative rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
In this paper, we investigate the Sombor index of the zero-divisor graph of ℤn which is denoted by Γ(ℤn) for n ∈ {pα, pq, p2q, pqr} where p, q and r are distinct prime numbers. Moreover, we introduce an algorithm which calculates the Sombor index of Γ(ℤn)
Gürsoy Arif, Ülker Alper, Kircali Gürsoy Necla   +2 more
doaj   +1 more source

bk$b^k$‐Algebroids and the variety of foliation jets

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We introduce and classify singular foliations of bk+1$b^{k+1}$‐type, which formalize the properties of vector fields that are tangent to a submanifold W⊂M$W \subset M$ to order k$k$. When W$W$ is a hypersurface, these structures are Lie algebroids generalizing the bk+1$b^{k+1}$‐tangent bundles introduced by Scott.
Francis Bischoff, Álvaro del Pino, Aldo Witte   +2 more
wiley   +1 more source

Zero-divisor graphs in commutative rings

, 2010
This article surveys the recent and active area of zero-divisor graphs of commutative rings. Notable algebraic and graphical results are given, followed by a historical overview and an extensive ...
Michael C. Axtell, David F. Anderson, Axtell, Michael C., Stickles, Joe, Joe A. Stickles, Anderson, David F.   +5 more
core   +2 more sources

Fault-Tolerant Edge Metric Dimension of Zero-Divisor Graphs of Commutative Rings

Axioms
In recent years, the intersection of algebraic structures and graph-theoretic concepts has developed significant interest, particularly through the study of zero-divisor graphs derived from commutative rings.
Omaima Alshanquiti, Malkesh Singh, Vijay Kumar Bhat   +2 more
doaj   +1 more source

Characteristic‐free normalized Nash blowup of toric varieties

Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.
Abstract We introduce conditions on cones of normal toric varieties under which the polyhedron defining the normalized Nash blowup does not depend on the characteristic of the base field. As a consequence, we deduce several results on the resolution of singularities properties of normalized Nash blowups.
Federico Castillo, Daniel Duarte, Maximiliano Leyton‐Álvarez, Alvaro Liendo   +3 more
wiley   +1 more source

An exploration of ideal-divisor graphs

, 2014
Zero-divisor graphs have given some interesting insights into the behavior of commutative rings. Redmond introduced a generalization of the zero-divisor graph called an ideal-divisor graph.
Williams, Tristan, Peck, Hailee, Richard, Abigail, Donovan, Rob, Stickles, Joe, Axtell, Michael, Milner, Paul, Bloome, Lane   +7 more
core   +1 more source

Structure and Computation

Noûs, Volume 60, Issue 3, Page 593-605, September 2026.
ABSTRACT It is a truism of mathematics that differences between isomorphic number systems are irrelevant to arithmetic. This truism is deeply rooted in the modern axiomatic method and underlies most strands of arithmetical structuralism, the view that arithmetic is about some abstract number structure.
Balthasar Grabmayr
wiley   +1 more source