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The spectrum of rotational directed triple systems and rotational Mendelsohn triple systems
"... Necessary and sufficient conditions for the existence of krotational directed triple systems and krotational Mendelsohn triple systems are derived. 1. ..."
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Necessary and sufficient conditions for the existence of krotational directed triple systems and krotational Mendelsohn triple systems are derived. 1.
Resolvable Mendelsohn Triple Systems with Equal Sized Holes
"... An HMTS of type f n 1 ; n 2 ; \Delta \Delta \Delta ; n h g is a directed graph DK n 1 ;n 2 ;\Delta\Delta\Delta;n h which can be decomposed into 3circuits. If the 3circuits can be partitioned into parallel classes, then the HMTS is called an RHMTS. In this paper, it is shown that the RHMTSs of type ..."
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Mendelsohn frame of type t u exists if and only if u 4 and t(u \Gamma 1) j 0(mod 3) with 2 possible exceptions. Research supported by NSERC under grant A5320 y Research supported by NSFC under grant 192310602 1 Introduction A complete multipartite directed graph DK n1 ;n2 ;\Delta\Delta\Delta;n h
Classification of Directed and Hybrid Triple Systems
"... Pairwise nonisomorphic directed and hybrid triple systems can be generated by, respectively, directing and ordering twofold triple systems and using the automorphisms of the twofold triple systems for isomorph rejection. Using this approach directed triple systems of order up to 10 and hybrid tripl ..."
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Pairwise nonisomorphic directed and hybrid triple systems can be generated by, respectively, directing and ordering twofold triple systems and using the automorphisms of the twofold triple systems for isomorph rejection. Using this approach directed triple systems of order up to 10 and hybrid
Antipodal Triple Systems
 AUSTRALASIAN JOURNAL OF COMBINATORICS 9(1994). NN. B71&;1
, 1994
"... An antipodal triple system of order v is a triple (V, B, 1), where 1 V 1 = v, B is a set of cyclically oriented 3subsets of V, and f: V+ V is an involution with one fixed point such that: (i) (V, B U f(B)) is a Mendelsohn triple system. Oi) B n f(B) = 0. (iii) f is an isomorphism between the Stei ..."
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An antipodal triple system of order v is a triple (V, B, 1), where 1 V 1 = v, B is a set of cyclically oriented 3subsets of V, and f: V+ V is an involution with one fixed point such that: (i) (V, B U f(B)) is a Mendelsohn triple system. Oi) B n f(B) = 0. (iii) f is an isomorphism between
Elaborated Reichardt detectors.
 Journal of the Optical Society of America A: Optics and Image Science,
, 1985
"... The elaborated Reichardt detector (ERD) proposed by van Santen and Sperling [J. Opt. Soc. Am. A 1, 451 (1984)], based on Reichardt's motion detector [Z. Naturforsch. Teil B 12, 447 (1957)], is an opponent system of two mirrorimage subunits. Each subunit receives inputs from two spatiotemporal ..."
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Cited by 161 (6 self)
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experimentally. It is demonstrated that a system containing ERD's of various sizes can solve the correspondence problem in twoframe motion of randombar stimuli and shows the predicted phase dependencies when confronted with displays composed of triple sinusoids combined either in amplitude modulation
The Fine Structure of Threefold Directed Triple Systems. (*)
"... The fine structure of a threefold directed triple system is the vector where c. is the number of directed triples appearing preciselyL times in the system. We determine necessary and sufficient conditions for a vector to be the fine structure of a threefold directed triple system. 1. Introduction. ..."
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The fine structure of a threefold directed triple system is the vector where c. is the number of directed triples appearing preciselyL times in the system. We determine necessary and sufficient conditions for a vector to be the fine structure of a threefold directed triple system. 1. Introduction
On the directed triple systems with a given automorphism
 J. COMBIN
, 1997
"... A directed triple system of order v, denoted DTS(v), is said to be fbicyclic if it admits an automorphism consisting of f fixed points and two disjoint cycles. In this paper, we give necessary and sufficient conditions for the existence of fbicyclic DTS(v)s. ..."
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A directed triple system of order v, denoted DTS(v), is said to be fbicyclic if it admits an automorphism consisting of f fixed points and two disjoint cycles. In this paper, we give necessary and sufficient conditions for the existence of fbicyclic DTS(v)s.
Construction of Some Classes of Extended Directed Triple Systems
"... Let {v; b2, b1} denote the class of extended directed triple systems of the order v in which the number of blocks of the form [a, b, a] is b2 and the number of blocks of the form [b, a, a] or [a, a, b] is b1. In this paper, the classes {v; b2, 0} and {v; 0, b1} have been constructed. ..."
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Let {v; b2, b1} denote the class of extended directed triple systems of the order v in which the number of blocks of the form [a, b, a] is b2 and the number of blocks of the form [b, a, a] or [a, a, b] is b1. In this paper, the classes {v; b2, 0} and {v; 0, b1} have been constructed.
Some bicyclic antiautomorphisms of directed triple systems
 AUSTRALASIAN JOURNAL OF COMBINATORICS VOLUME 28 (2003), PAGES 107–119 S
, 2003
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