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Graph factorization, general triple systems, and cyclic triple systems

✍ Scribed by R. G. Stanton; I. P. Goulden

Publisher: Springer
Year: 1981
Tongue: English
Weight: 955 KB
Volume: 22
Category: Article
ISSN: 0001-9054
DOI: 10.1007/bf02190154

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📜 SIMILAR VOLUMES

Extended cyclic triple systems

✍ Frank E. Benneit 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 471 KB

A:" ex:¢~dod cyclic Wple syste~ is a p;:ir (S. I') where S is a finite set and \*3" is a collection of cyclic Mples from S, where eac~ trifle may hwe repeated elements, such ~hat every ordered pair of e emen/s of & not necessarily distinct, is conlai'~ed in exactly one triple ol W. The triples m W a

Twofold triple systems and graph imbeddi

Twofold triple systems and graph imbeddings

✍ Seth R Alpert 📂 Article 📅 1975 🏛 Elsevier Science 🌐 English ⚖ 439 KB

Cyclic and rotational hybrid triple syst

Cyclic and rotational hybrid triple systems

✍ Robert Gardner; Biagio Micale; Mario Pennisi; Rebecca Zijlstra 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 669 KB

Cyclic and rotational hybrid triple syst

Cyclic and rotational hybrid triple systems

✍ Robert Gardner; Biagio Micale; Mario Pennisi; Rebecca Zijlstra 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 664 KB

A hybrid triple system of order v, denoted HTS(v), is said to be cyclic if it admits an automorphism consisting of a single cycle of length v. A HTS(v) admitting an automorphism consisting of a fixed point and a cycle of length v -1 is said to be rotational. Necessary and sufficient conditions are g

Cyclic antiautomorphisms of directed tri

Cyclic antiautomorphisms of directed triple systems

✍ Neil P. Carnes; Anne Dye; James F. Reed 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 645 KB

A transitive triple, (a,b,c), is defined to be the set )} of ordered pairs. A directed triple system of order v, DTS(v), is a pair (D, p), where D is a set of v points and fi is a collection of transitive triples of pairwise distinct points of D such that any ordered pair of distinct points of D is

Cyclic antiautomorphisms of Mendelsohn t

Cyclic antiautomorphisms of Mendelsohn triple systems

✍ Neil P. Carnes 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 1016 KB

A cyclic triple (a, b, c) is defined to be set { (a, b) ,(b,c),(c,a)} of ordered pairs. A Mendelsohn triple system of order v, M(2,3, u), is a pair (M, fi), w h ere M is a set of u points and fi is a collection of cyclic triples of pairwise distinct points of M such that any ordered pair of distinct