This paper presents some results regarding the design of reliable networks. The problem under consideration involves networks which are undirected graphs having equal and independent edge failure probabilities. The index of reliability is the probability that the network fails (becomes disconnected)
Combinatorial analysis of a chemical network
β Scribed by Peter H. Sellers
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 1018 KB
- Volume
- 290
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper demonstrates the combinatorial rekztionships among the sets of chemical components, reactions, mechanisms, catalyzations, etc. in a chemical system by solving a problem of the following nature: 28 chemical equations are given; one of them describes the overall chemical reaction of a particular chemical system, and the other 27 describe elementary reactions which possibly participate in the system; the problem is to determine mathematically every possible mechanism for the system. The formalization presented ?Lere does not depend on the particular chemical system used as an illustration, but is applicable to chemical systems with an arbitrarily large and intricate network structure.
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## Abstract For Abstract see ChemInform Abstract in Full Text.
## A Combinatorial Analysis of Topological Dissections THOMAS ZASLAVSKY Massachusetts Institute Contents. Introduction. 1. The fundamental relations for dissections and covers. 2. Algebraic combinatorics: Valuations and MGbius algebras. 3. Dissections into cells and properly cellular faces. 4. Gen