Abstract
Let C(G) denote the number of spanning trees of a graph G. It is shown that there is a function ϵ(k) that tends to zero as k tends to infinity such that for every connected, k‐regular simple graph G on n vertices C(G) = {k[1 − δ(G)]}n. where 0 ≤ δ(G) ≤ ϵ(k).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 175-181 |
| Number of pages | 7 |
| Journal | Random Structures & Algorithms |
| Volume | 1 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 1 1990 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Software
- Mathematics(all)
- Computer Graphics and Computer-Aided Design
- Applied Mathematics