## Abstract The Wiener index of a connected graph is defined as the sum of distances between all unordered pairs of its vertices. It has found various applications in chemical research. We determine the minimum and the maximum Wiener indices of trees with given bipartition and the minimum Wiener in
On the variable Wiener indices of trees with given maximum degree
โ Scribed by Muhuo Liu; Bolian Liu
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 509 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0895-7177
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## Abstract We prove that every connected graph __G__ contains a tree __T__ of maximum degree at most __k__ that either spans __G__ or has order at least __k__ฮด(__G__) + 1, where ฮด(__G__) is the minimum degree of __G.__ This generalizes and unifies earlier results of Bermond [1] and Win [7]. We als
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