137 search results - page 2 / 28 » Locally connected spanning trees on graphs |
WAOA
2007
Springer
14 years 5 months ago
2007
Springer
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
EUROPAR
2004
Springer
14 years 4 months ago
2004
Springer
Computing a spanning tree and the connected components of a graph are basic problems in Graph Theory and arise as subproblems in many applications. Dehne et al. present a BSP/CGM a...
COMBINATORICA
2004
13 years 10 months ago
2004
We extend the basic theory concerning the cycle space of a finite graph to infinite locally finite graphs, using as infinite cycles the homeomorphic images of the unit circle in t...
RSA
2011
13 years 5 months ago
2011
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
COMBINATORICS
2000
13 years 10 months ago
2000
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...