Spanning trees with minimum weighted degrees
โ Scribed by Mohammad Ghodsi; Hamid Mahini; Kian Mirjalali; Shayan Oveis Gharan; Amin S. Sayedi R.; Morteza Zadimoghaddam
- Book ID
- 108153532
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 122 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present an algorithm for counting the number of minimum weight spanning trees, based on the fact that the generating function for the number of spanning trees of a given graph, by weight, can be expressed as a simple determinant. For a graph with n vertices and m edges, our ลฝ ลฝ .. ลฝ . algorithm r
The average distance ยต(G) of a connected graph G of order n is the average of the distances between all pairs of vertices of G, i.e., ยต(G) = ( n 2 ) -1 {x,y}โV (G) d G (x, y), where V (G) denotes the vertex set of G and d G (x, y) is the distance between x and y. We prove that every connected graph