Results 41 to 50 of about 345,858 (279)
Partition function of massless scalar field in Schwarzschild background [PDF]
, 2014 Using thermal value of zeta function instead of zero temperature, the partition function of quantized fields in arbitrary stationary backgrounds was found to be independent of undetermined regularization constant in even-dimension and the long drawn ...
Sanyal, Abhik Kumar
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Set Partition Patterns and the Dimension Index
, 2020 The notion of containment and avoidance provides a natural partial ordering on set partitions. Work of Sagan and of Goyt has led to enumerative results in avoidance classes of set partitions, which were refined by Dahlberg et al. through the use of combinatorial statistics.
Grubb, Thomas, Rajasekaran, Frederick
openaire +3 more sources
Partition Dimension of Dutch Windmill Graph
Jurnal Matematika, Statistika dan Komputasi, 2021 Let be a connected graph G and -partition of end . The coordinat to is definition . If every twovertex is distinct applies, then is a called partition of . The minimum k for which k-resolving partition of is the partition dimension and denoted with . In this paper, we investigates the partition dimensionfor a large Dutch windmill graph for and
Hasmawati Hasmawati +3 more
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The Mixed Partition Dimension: A New Resolvability Parameter in Graph Theory
IEEE AccessIn this article, we introduce a novel graph-theoretical parameter called the mixed partition dimension and apply it to the path graph and the hexagonal network.
Siti Norziahidayu Amzee Zamri +4 more
doaj +1 more source
On Sharp Bounds on Partition Dimension of Convex Polytopes
IEEE Access, 2020 Let $\Omega $ be a connected graph and for a given $l$ -ordered partition of vertices of a connected graph $\Omega $ is represented as $\beta =\{\beta _{1},\beta _{2}, {\dots },\beta _{l}\}$ . The representation of a vertex $\mu \in V(\Omega)$ is
Yu-Ming Chu +3 more
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Canonical forms for matrices of Saletan contractions
, 2015 We show that each Saletan (linear) contraction can be realized, up to change of bases of the initial and the target Lie algebras, by a matrix-function that is completely defined by a partition of the dimension of Fitting component of its value at the ...
Popovych, Dmytro R.
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Approximating Tverberg Points in Linear Time for Any Fixed Dimension
, 2020 Let P be a d-dimensional n-point set. A Tverberg-partition of P is a partition of P into r sets P_1, ..., P_r such that the convex hulls conv(P_1), ..., conv(P_r) have non-empty intersection.
B Chazelle +12 more
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Measurable circle squaring [PDF]
, 2016 Laczkovich proved that if bounded subsets $A$ and $B$ of $R^k$ have the same non-zero Lebesgue measure and the box dimension of the boundary of each set is less than $k$, then there is a partition of $A$ into finitely many parts that can be translated to
Grabowski, Łukasz +2 more
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On Sharp Bounds of Fault-Tolerant Partition Dimension of Convex Polytopes
Scientific Annals of Computer ScienceGraph theory is a fundamental and powerful tool for designing and modeling networks. It plays a vital role in diverse real-world systems, including social, computer, biological, ecological, and neural networks.
Kamran Azhar, Asim Nadeem, Yilun Shang
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ON PROPERTIES OF PRIME IDEAL GRAPHS OF COMMUTATIVE RINGS
Barekeng, 2023 The prime ideal graph of in a finite commutative ring with unity, denoted by , is a graph with elements of as its vertices and two elements in are adjacent if their product is in . In this paper, we explore some interesting properties of .
Rian Kurnia +5 more
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