On a maximum-property characterizing the angles of a triangle
✍ Scribed by Paul Szász
- Publisher
- Springer Vienna
- Year
- 1962
- Tongue
- English
- Weight
- 174 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let t(G) denote the cardinality of a maximum induced forest of a graph G with n vertices. For connected simple cubic graphs G without triangles, it is shown that r(G) 3 2n/3 except for two particular graphs. This lower bound is sharp and it improves a result due to J.A. Bondy, et al. [l]. Using this
## Abstract Let __m__ and __n__ be nonnegative integers. Denote by __P__(__m,n__) the set of all triangle‐free graphs __G__ such that for any independent __m__‐subset __M__ and any __n__‐subset __N__ of __V__(__G__) with __M__ ∩ __N__ = Ø, there exists a unique vertex of __G__ that is adjacent to e
Let v, e and t denote the number of vertices, edges and triangles, respectively, of a K4-free graph. Fisher (1988) proved that t<,(e/3) 3/2, independently of v. His bound is attained when e = 3k 2 for some integer k, but not in general. We find here, for any given value of e, the maximum possible va
We present a theorem on the Wigner angle and its relation with the defect of a triangle in hyperbolic geometry.