Algebraic Connectivity of Connected Graphs with Fixed Number of Pendant Vertices
โ Scribed by Arbind Kumar Lal; Kamal Lochan Patra; Binod Kumar Sahoo
- Publisher
- Springer Japan
- Year
- 2010
- Tongue
- English
- Weight
- 392 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0911-0119
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๐ SIMILAR VOLUMES
In this paper, we first determine that the first four trees of order n 9 with the smallest algebraic connectivity are P n , Q n , W n and Z n with ฮฑ(P n ) < ฮฑ(Q n ) < ฮฑ(W n ) < ฮฑ(Z n ) < ฮฑ(T ), where T is any tree of order n other than P n , Q n , W n , and Z n . Then we consider the effect on the L
At the 4th International Graph Theory Conference (1980), G. Chartrand posed the following problem: If a (connected) graph G contains spanning trees with m and n pendant vertices, respectively, with m < n, does G contain a spanning tree with k pendant vertices for every integer k, where m<k<n? Recent