منابع مشابه
Theta Graph Designs
We solve the design spectrum problem for all theta graphs with 10, 11, 12, 13, 14 and 15 edges.
متن کاملCycles in the block-intersection graph of pairwise balanced designs
The focws of this thesis is to investigate certain graph theoretic propertir-s of a class of graphs \shicL arise from combinatorial design theory. The Itlock-i~~tc.rscc.tion graph of a pairwise balanced design has as its vertices tlw Mocks of tllc (hasign ;irici has as its edges precisely those pairs of blocks wliicll llrtvr. nori-cm~pty ilitc~rsc~c'ticm. These graphs have a particular local st...
متن کاملAddress block localization based on graph theory
An efficient mail sorting system is mainly based on an accurate optical recognition of the addresses on the envelopes. However, the localizing of the address block (ABL) should be done before the OCR recognition process. The location step is very crucial as it has a great impact on the global performance of the system. Currently, a good localizing step leads to a better recognition rate. The li...
متن کاملRamsey Graphs and Block Designs
This paper establishes a connection between a certain class of Ramsey numbers for graphs and the class of symmetric block designs admitting a polarity. The main case considered here relates the projective planes over Galois fields to the Ramsey numbers R(Ca, Kx „) = f(n). It is shown that, for 2 2 ' 2 2 every prime power q, f(q + 1) = q + q + 2, and f(q ) = q + q + 1.
متن کاملSome Block Designs Constructed from Resolvable Designs
LetD be a resolvable 2−(v, k, λ) design, andD′ be a 2−(v′, k′, λ′) design, such that v′ = v k . Further, let r and r′ be replication numbers of a point in D and D′, respectively. Shrikhande and Raghavarao proved that then there exists a 2 − (v′′, k′′, λ′′) design D′′, such that v′′ = v, k′′ = kk′ and λ′′ = r′λ + (r − λ)λ′. If D′ is resolvable, then D′′ is also resolvable. Applying this result, ...
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
سال: 1966
ISSN: 0021-9800
DOI: 10.1016/s0021-9800(66)80010-8