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Generalized vertex-rankings of trees

✍ Scribed by Xiao Zhou; Nobuaki Nagai; Takao Nishizeki


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
622 KB
Volume
56
Category
Article
ISSN
0020-0190

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πŸ“œ SIMILAR VOLUMES


Generalized Vertex Algebras Generated by
✍ Yongcun Gao; Haisheng Li πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 231 KB

It is proved that for any vector space W, any set of parafermion-like vertex operators on W in a certain canonical way generates a generalized vertex algebra in the sense of Dong and Lepowsky with W as a natural module. As an application, generalized vertex algebras are constructed from the Lepowsky

The generalized Randić index of trees
✍ Paul Balister; BΓ©la BollobΓ‘s; Stefanie Gerke πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 241 KB

## Abstract The generalized Randić; index ${R}\_{-\alpha}(T)$ of a tree __T__ is the sum over the edges ${u}{v}$ of __T__ of $(d(u)d(v))^{-\alpha}$ where ${d}(x)$ is the degree of the vertex __x__ in __T__. For all $\alpha > 0$, we find the minimal constant $\beta\_{0}=\beta\_{0}(\alpha)$ such that

On Minimum Edge Ranking Spanning Trees
✍ Kazuhisa Makino; Yushi Uno; Toshihide Ibaraki πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 243 KB

In this paper, we introduce the problem of computing a minimum edge ranking spanning tree (MERST); i.e., find a spanning tree of a given graph G whose edge ranking is minimum. Although the minimum edge ranking of a given tree can be computed in polynomial time, we show that problem MERST is NP-hard.

Packing k-edge trees in graphs of restri
✍ A.K. Kelmans πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 368 KB πŸ‘ 1 views

## Abstract Let ${\cal G}^{s}\_{r}$ denote the set of graphs with each vertex of degree at least __r__ and at most __s__, __v__(__G__) the number of vertices, and Ο„~__k__~ (__G__) the maximum number of disjoint __k__‐edge trees in __G__. In this paper we show that if __G__ ∈ ${\cal G}^{s}\_{2}$ a