Results 51 to 60 of about 863,417 (323)
Brauer configuration algebras are path algebras induced by appropriated multiset systems. Since their structures underlie combinatorial data, the general description of some of their algebraic invariants (e.g., their dimensions or the dimensions of their
Agustín Moreno Cañadas+2 more
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An Efficient Algorithm to Test Forcibly-connectedness of Graphical Degree Sequences
We present an algorithm to test whether a given graphical degree sequence is forcibly connected or not and prove its correctness. We also outline the extensions of the algorithm to test whether a given graphical degree sequence is forcibly $k$-connected ...
Kai Wang
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Kronecker coefficients: the tensor square conjecture and unimodality [PDF]
We consider two aspects of Kronecker coefficients in the directions of representation theory and combinatorics. We consider a conjecture of Jan Saxl stating that the tensor square of the $S_n$-irreducible representation indexed by the staircase partition
Igor Pak, Greta Panova, Ernesto Vallejo
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Integer partitions, probabilities and quantum modular forms
What is the probability that the smallest part of a random integer partition of N is odd? What is the expected value of the smallest part of a random integer partition of N?
Hieu T. Ngo, Robert C. Rhoades
semanticscholar +1 more source
On the poset of partitions of an integer
The partially ordered sets \(P_ n\) of partitions of a positive integer n, ordered by refinement are studied. In particular, the author disproves the conjecture that the partially ordered sets are Cohen-Macaulay [for a definition see \textit{A. Björner, A. M. Garsia} and \textit{R. P.
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Partitions and sums and products of integers [PDF]
The principal result of the paper is that, if r > ω r\, > \,\omega and { A i } i > r {\{ {A_i}\} _{i > r}} is a partition of ...
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RESTRICTED INTEGER PARTITION FUNCTIONS [PDF]
See the abstract in the attached pdf.
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Chromatin, which organizes DNA, changes its structure to adapt to stress like high oxygen levels (hyperoxia), which can damage cells. Researchers developed a technique to observe these changes and found variability in how different parts of chromatin remodel.
Lauren Monroe+4 more
wiley +1 more source
Goldbach partitions and norms of cusp forms
An integral formula for the Goldbach partitions requires uniform convergence of a complex exponential sum. The dependence of the coefficients of the series is found to be bounded by that of cusp forms.
Simon Brian Davis
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A Case‐Based Reasoning Approach to Model Manufacturing Constraints for Impact Extrusion
A hybrid modeling approach is presented that combines constraint‐based process modeling and case‐based reasoning. The model formalizes manufacturing constraints and integrates simulation data to model complex manufacturing processes. The approach supports manufacturability analysis during product design through an adaptive modeling environment.
Kevin Herrmann+5 more
wiley +1 more source