Batten, L.M., The nonexistence of finite linear spaces with v = n\* points and b = nz + n+ 2 lines, Discrete Mathematics 115 (1993) 11-15. We show that any finite linear space on u = n\* points and b = n2 + n + 2 lines has nd 4. We also describe all such spaces.
A characterization of finite linear spaces on v points, n2⩽v<(n+1)2, andb=n2+n+3 lines, n⩾10
✍ Scribed by Lynn Margaret Batten
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 583 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
Batten, L.M., A characterization of finite linear spaces on v points, a2 10, Discrete Mathematics 118 (1993) 1-9. Characterizations of finite linear spaces on G' points, n\* 10, then, if it is not a near-pencil, the space is an affine plane of order n less up to three points, with three additional 'points at infinity', and three lines, each of size two, on these points.
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The rate constant for N,(A, v=O) deactivation by H has been measured by monitoring the decrease in the N,(A, v=O) -+N,(X, v=6) emission when H is added to a flow stream containing N\*(A). The value is found to be 5 x lo-" cm3 s-l, with an uncertainty of z 50%.