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Hume and Conjectural History

open access: yesJournal of Scottish Philosophy, 2017
An often-ignored Humean contribution to Scottish Enlightenment is ‘conjectural history’, an eighteenth-century historical genre that attempted to trace the origins and development of particular institutions from prehistory to modernity.
Juan Samuel Santos Castro
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On the double-critical graph conjecture

Discrete Mathematics, Algorithms and Applications, 2022
A connected graph [Formula: see text] is double-critical if the chromatic number of [Formula: see text] is two less than that of [Formula: see text] whenever [Formula: see text] and [Formula: see text] are two adjacent vertices of [Formula: see text].
R. Dharmarajan, D. Ramachandran
openaire   +2 more sources

Minkowsky's conjecture on the critical determinant

Cybernetics, 1986
The authors investigate Minkowski's famous conjecture on the critical determinant of the domain \(| x|^ p+| y|^ p1\) with the help of a computer. They show that their computer-results support Minkowski's conjecture in particular at the critical regions \(p=1+\epsilon_ 1\) and \(p=2\pm \epsilon_ 2\) for small \(\epsilon_ 1,\epsilon_ 2>0\).
Glazunov, N. M., Malyshev, A. V.
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The rise and fall of the critical graph conjecture

Journal of Graph Theory, 1983
AbstractIn this expository paper we discuss the critical graph conjecture and its eventual disproof by M.K. Goldberg and others.
Amanda G. Chetwynd, Robin J. Wilson
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On the critical graph conjecture

Journal of Graph Theory, 1980
AbstractGol'dberg has recently constructed an infinite family of 3‐critical graphs of even order. We now prove that if there exists a p(≥4)‐critical graph K of odd order such that K has a vertex u of valency 2 and another vertex v ≠ u of valency ≤(p + 2)/2, then there exists a p‐critical graph of even order.
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Three Conjectures on Critical Graphs

The American Mathematical Monthly, 1976
(1976). Three Conjectures on Critical Graphs. The American Mathematical Monthly: Vol. 83, No. 2, pp. 128-129.
Robin J. Wilson, Lowell W. Beineke
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A conjecture on k-factor-critical and 3-γ-critical graphs

Science China Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Tao, Yu, Qinglin
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Mader’s Conjecture On Extremely Critical Graphs

Combinatorica, 2006
A non-complete graph G is called an (n,k)-graph if it is n-connected but G—X is not (n−|X|+1)-connected for any X ⊂ V (G) with |X|≤k. Mader conjectured that for k≥3 the graph K2k+2−(1−factor) is the unique (2k,k)-graph(up to isomorphism).Here we prove this conjecture.
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