Academic literature on the topic 'Degree'

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Journal articles on the topic "Degree"

1

van der Hofstad, Remco, and Nelly Litvak. "Degree-Degree Dependencies in Random Graphs with Heavy-Tailed Degrees." Internet Mathematics 10, no. 3-4 (2014): 287–334. http://dx.doi.org/10.1080/15427951.2013.850455.

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2

van der Hoorn, Pim, and Nelly Litvak. "Degree-Degree Dependencies in Directed Networks with Heavy-Tailed Degrees." Internet Mathematics 11, no. 2 (2014): 155–79. http://dx.doi.org/10.1080/15427951.2014.927038.

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3

Soskova, A. A., and I. N. Soskov. "Quasi-minimal degrees for degree spectra." Journal of Logic and Computation 23, no. 6 (2013): 1319–34. http://dx.doi.org/10.1093/logcom/ext045.

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4

Gobeski, Adam, and Marcin Morzycki. "Percentages, Relational Degrees, and Degree Constructions." Semantics and Linguistic Theory 27 (August 3, 2018): 721. http://dx.doi.org/10.3765/salt.v27i0.4142.

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Comparatives and equatives are usually assumed to differ only in that comparatives require that one degree be greater than another, while equatives require that it be at least as great. Unexpectedly, though, the interpretation of percentage measure phrases differs fundamentally between the constructions. This curious asymmetry is, we suggest, revealing. It demonstrates that comparatives and equatives are not as similar as one might have thought. We propose an analysis of these facts in which the interpretation of percentage phrases follows straightforwardly from standard assumptions enriched with two additional ones: that percentage phrases denote ‘relational degrees’ (type <d,d>) and that the equative morpheme is uninterpreted.
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5

Huppert, Bertram, and Olaf Manz. "Degree-problems I squarefree character degrees." Archiv der Mathematik 45, no. 2 (1985): 125–32. http://dx.doi.org/10.1007/bf01270483.

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6

Manz, Olaf. "Degree problems II π - separable character degrees". Communications in Algebra 13, № 11 (1985): 2421–31. http://dx.doi.org/10.1080/00927878508823281.

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7

Webb, Susan, Elizabeth Knight, and Steven Hodge. "‘A degree is a degree’: understanding vocational institution’s bachelor degrees in Australia’s high participation system." International Journal of Training Research 18, no. 2 (2020): 93–100. http://dx.doi.org/10.1080/14480220.2021.1883839.

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8

Arumugam, S., and Latha Martin. "Degrees and degree sequence ofk-edged-critical graphs." Journal of Discrete Mathematical Sciences and Cryptography 14, no. 5 (2011): 421–29. http://dx.doi.org/10.1080/09720529.2011.10698346.

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9

Ramos, Marlon, and Celia Anteneodo. "Random degree–degree correlated networks." Journal of Statistical Mechanics: Theory and Experiment 2013, no. 02 (2013): P02024. http://dx.doi.org/10.1088/1742-5468/2013/02/p02024.

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10

MUKWEMBI, S., and S. MUNYIRA. "DEGREE DISTANCE AND MINIMUM DEGREE." Bulletin of the Australian Mathematical Society 87, no. 2 (2012): 255–71. http://dx.doi.org/10.1017/s0004972712000354.

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AbstractLet G be a finite connected graph of order n, minimum degree δ and diameter d. The degree distance D′(G) of G is defined as ∑ {u,v}⊆V (G)(deg u+deg v) d(u,v), where deg w is the degree of vertex w and d(u,v) denotes the distance between u and v. In this paper, we find an asymptotically sharp upper bound on the degree distance in terms of order, minimum degree and diameter. In particular, we prove that \[ D^\prime (G)\le \frac {1}{4}\,dn\biggl (n-\frac {d}{3}(\delta +1)\biggr )^2+O(n^3). \] As a corollary, we obtain the bound D′ (G)≤n4 /(9(δ+1) )+O(n3) for a graph G of order n and minimum degree δ. This result, apart from improving on a result of Dankelmann et al. [‘On the degree distance of a graph’, Discrete Appl. Math.157 (2009), 2773–2777] for graphs of given order and minimum degree, completely settles a conjecture of Tomescu [‘Some extremal properties of the degree distance of a graph’, Discrete Appl. Math.98(1999), 159–163].
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