2,383 research outputs found
Icosahedron designs
It is known from the work of Adams and Bryant that icosahedron designs of order v exist for v тЙб 1 (mod 60) as well as for v = 16. Here we prove that icosahedron designs exist if and only if v тЙб 1, 16, 21 or 36 (mod 60), wit
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Designs for graphs with six vertices and nine edges
The design spectrum has been determined for eleven of the 21 graphs with six vertices and nine edges. In this paper we completely solve the design spectrum problem for the remaining ten graphs
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Completing the design spectra for graphs with six vertices and eight edges
Apart from two possible exceptions, the design spectrum has been determined for every graph with six vertices and at most eight edges. The purpose of this note is to establish the existence of the two missing designs, both of order 32
Theta Graph Designs
We solve the design spectrum problem for all theta graphs with 10, 11, 12, 13, 14 and 15 edges
Combinatorics of the Sonnet
Using a definition of a sonnet, the number of basic rhyming schemes is enumerated. This is then used to discuss the 86 sonnets which appear in John Clare\u27s The Rural Muse
LANDLORD AND TENANT-LIABILITY OF LANDLORD TO PERSONS ON THE PREMISES-THE CONCEALED DEFECTS EXCEPTION
Plaintiff sought to recover for injuries suffered in consequence of the defective condition of a stairway in the manufacturing plant leased by her employer from defendant. The stairway was in the sole control of the tenant at the time of the injury; the lease stipulated that no warranty was made as to the condition of the premises; and the sole obligation to repair was borne by the tenant. Liability was claimed, however, upon the contention that the stairway had been in dangerous condition at the time of the letting. It was apparently little used, and plaintiff had used it only once before in eight months. No claim was made that the nature of her purpose at the time of the injury did not preclude use of one of the stairways customarily used. There was no evidence that either the landlord or the tenant knew of the condition, but whatever danger existed was apparently entirely patent. On appeal from the United States District Court for the Eastern District of Tennessee, held, judgment directing a verdict in favor of the landlord reversed. Liability can be predicated on grounds of negligence when premises are let in an unsafe and dangerous condition, if the lessor knew or should have known of the dangerous condition. An employee of the tenant stands in the position of a third person whose right to recovery is not barred by any contract between his employer and the landlord. Kaylor v. Magill, (6th Cir. 1950) 181 F. (2d) 179
LABOR LAW - LABOR-MANAGEMENT RELATIONS ACT -APPLICABILITY OF NON-COMMUNIST AFFIDAVIT TO PARENT FEDERATION
The language of section 9(h) of Title I of the Labor Management Relations Act of 1947 conditions assertion of rights under the act by a labor organization upon its submission to the Labor Board of particularly described affidavits executed by each of its local officers and the officers of any national or international labor organization of which it is an affiliate or constituent unit. The Board had considered the scope of the quoted phrase not to include the federation type of organization. The Court of Appeals for the District of Columbia Circuit had agreed with the Board\u27s construction. The Fourth and Fifth Circuits, and one district court, had taken a contrary view. The Supreme Court in the recent decision in NLRB v. Highland Park Manufacturing Company accepts the latter view
Education and progression for support workers in mental health
Purpose: This case study details the development of a bespoke programme of learning for Support Workers employed in Mental Health sector.
Design: The programme was designed to serve three purposes: to offer a route into Mental Health Nursing; to upskill those who wanted to remain as a Support Worker; to improve the quality of care provided.
Findings: The paper shares the perspectives of the local Partnership Trust, a Support Worker on the programme and the Programme Director.
Originality/Value: Employers within the Mental Health sector are encouraged to develop their own staff and Universities are urged to think differently about curriculum design
LABOR LAW-BOYCOTTS AND COERCION OF NEUTRAL EMPLOYERS UNDER THE TAFT-HARTLEY ACT
Four decisions rendered by the Supreme Court. at the close of the 1950 term may alleviate some of the confusion inherent in section 8(b)( 4)(A) of Title I of the Labor Management Relations Act of 1947. This section, whose concern is with the motive with which union activity is undertaken, rather than with the character of the activity itself, is probably the most broadside in the act. In essence, it purports to prohibit labor unions from engaging in or inducing strikes and concerted refusals to handle goods, where an object thereof is ... forcing or requiring . . . any employer or other person ... to cease doing business with any other person
Properties of Steiner triple systems of order 21
Properties of the 62,336,617 Steiner triple systems of order 21 with a
non-trivial automorphism group are examined. In particular, there are 28 which
have no parallel class, six that are 4-chromatic, five that are 3-balanced, 20
that avoid the mitre, 21 that avoid the crown, one that avoids the hexagon and
two that avoid the prism. All systems contain the grid. None have a block
intersection graph that is 3-existentially closed.Comment: 12 page
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