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Absence of zeros implies strong spatial mixing
In this paper we show that absence of complex zeros of the partition function of the hard-core model on any family of bounded degree graphs that is...
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Orthogonal and Strong Frame Starters: Revisited
In this paper, I survey frame starters, as well as orthogonal and strong frame starters, in abelian groups. I mainly recall and re-examine existence... -
Solutions of the Yang–Baxter Equation and Strong Semilattices of Skew Braces
We prove that any set-theoretic solution of the Yang–Baxter equation associated with a dual weak brace is a strong semilattice of non-degenerate...
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Strong atoms in monadically Krull monoids
It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull...
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Strong Proper Projectivity
Let \( \mathcal{P}\) be a set of prime numbers,... -
An analysis of Fermatean fuzzy graph and its application in a car company
Fuzzy graphs find numerous applications in real life. One of the extensions of fuzzy graphs is Fermatean fuzzy graphs. Here, we introduce the...
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The Threshold Dimension and Threshold Strong Dimension of a Graph: A Survey
Let G be a connected graph and u, v and w vertices of G. Then w is said to resolve u and v if the distance from u to w does not equal the distance... -
Fractals via Self-Similar Group of Fisher Contractions
The fractal notion was unveiled by Mandelbrot in 1975, and a number of researchers continued to popularize the fractal theory. The chaotic structures... -
On transfer homomorphisms of Krull monoids
Every Krull monoid has a transfer homomorphism onto a monoid of zero-sum sequences over a subset of its class group. This transfer homomorphism is a...
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Elementary Structure Theory
Centralizers, normalizers, and strong normalizers are basic concepts in the structure theory of hypergroups. Centralizers and normalizers will be... -
Revealed Favorability and Indirect Utility: A Modern Approach
This chapter studies the axiomatic foundations of the indirect utility function, based on a revealed preference approach a la Paul A. Samuelson. We... -
On Almost Interval Preserving Linear Operators
A lattice homomorphism between quasi-Banach lattices is known to be compact if and only if it is a sum of a series of rank one lattice...
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A Class of Monothetic Reflexive Groups and the Weil Property
In this paper we study groups which have the so called Weil property (strong Weil property), which means that all cyclic (finitely generated)... -
Kernel and Trace Relations
With this chapter, we initiate a systematic study of the structure of the lattice... -
Subexponential Algorithms for Variants of Homomorphism Problem in String Graphs
We consider the complexity of finding weighted homomorphisms from intersection graphs of curves (string graphs) with n vertices to a fixed graph H.... -
On symplectic automorphisms of elliptic surfaces acting on CH0
Let S be a complex smooth projective surface of Kodaira dimension one. We show that the group Aut s ( S ) of symplectic automorphisms acts trivially on...