Correction to: A sufficient condition that an arc inSnbe cellular
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چکیده
منابع مشابه
A Sufficient Condition That a C-Characteristic Be Geometric.
These inequalities express the fact that no curve of order k and defined at the p points can meet the net in more than yok points. Coble' has conjectured that the conditions (1) and (2) are sufficient as well as necessary. In this paper we will show that the conditions (2) are actually sufficient. Indeed, the less stringent set of inequalities given in (5) will suffice. The notation and point o...
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Let D be a simple digraph with order p, strong arc-connectivity A(D) and minimum degree 6(D). It is shown here that in order to obtain the equality A.(II)=&D), it is sufficient that there are LjpJ pairs of vertices xj,yi in D such that d,(xi)+dD(yi)>p (i=1,2,...,L$pJ). This is a generalization of a theorem of Goldsmith and White (1978) for graphs. Goldsmith and White [l] proved the following th...
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Let q be a prime or a prime power ≥ 3. The purpose of this paper is to give a necessary and sufficient condition for the existence of an (n, r)-arc in PG(2, q) for given integers n, r and q using the geometric structure of points and lines in PG(2, q) for n > r ≥ 3. Using the geometric method and a computer, it is shown that there exists no (34, 3) arc in PG(2, 17), equivalently, there exists n...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1965
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1965.15.1474a