Countable homogeneous Steiner triple systems avoiding specified subsystems
نویسندگان
چکیده
منابع مشابه
Tricyclic Steiner Triple Systems with 1-Rotational Subsystems
Tricyclic Steiner Triple Systems with 1-Rotational Subsystems by
متن کاملOn pairs of Steiner triple systems intersecting in subsystems
• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
متن کاملBicoloring Steiner Triple Systems
A Steiner triple system has a bicoloring with m color classes if the points are partitioned into m subsets and the three points in every block are contained in exactly two of the color classes. In this paper we give necessary conditions for the existence of a bicoloring with 3 color classes and give a multiplication theorem for Steiner triple systems with 3 color classes. We also examine bicolo...
متن کاملBalanced Steiner Triple Systems
A Steiner triple system of order v (briefly STS(v)) is a pair (X, B), where X is a v-element set and B is a collection of 3-subsets of X (triples), such that every pair of X is contained in exactly one triple of B. It is well known that a necessary and sufficient condition for a STS(v) to exist is that v#1 or 3 (mod 6). An r-coloring of a STS(v) is a map , : X [1, ..., r] such that at least two...
متن کاملObligatory subsystems of triple systems
We determine a class of triple systems such that each must occur in a triple system with uncountable chromatic number that omits T0 (the system consisting of two triples on four vertices). This class contains all odd circuit of length ≥ 7. We also show that consistently there are two finite triple systems such that they can separately be omitted by uncountably chromatic triple systems but not b...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2021
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2021.105434