The following lemma clarifies the connection between critical sets and Latin in- terchanges. Lemma 1.1 A partial Latin square C c L, of size s and order n, is a ...
The question of determining defining numbers for graphs and other combinatorial objects has been studied in many papers and under various terminologies, ...
W ith this paper, we settle this outstanding question and close one of the gaps in the spectrum of critical sets. The construction pertaining to this case is ...
Feb 22, 2007 · Donovan, Closing a gap in the spectrum of critical sets, Australasian Journal of Combinatorics 22 (2000), 191–200. Google Scholar. 3 D ...
In this note we first introduce balanced critical sets and near balanced critical sets in Latin squares. Then we prove that there exist balanced critical sets ...
The spectral gap—the energy difference between the ground state and first excited state—is central to quantum many-body physics.
We also briefly present an estimate of the variation distance between the laws of 5"f and of 5"g in terms of Ilf-gil. (We generally use 11·11 to denote the L2 ...
Jan 9, 2015 · This happens in any ring that is a domain. The closure of a subset Y of the spectrum is V(I(Y)) where I(Y)=⋂Y. Hence ¯p=V(p). In particular, ...
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Oct 3, 2019 · Here we show that the critical fluctuation spectrum of CeCu 5.8 Ag 0.2 can not be explained by fluctuations associated with a single wave vector.
We assess the usefulness of estimating the PS scaling exponent in a tipping point context when the PS does not exhibit power-law scaling, or changes over time.