Abstract
A star forest is a forest all of whose components are stars. The star arboricity, st(G) of a graph G is the minimum number of star forests whose union covers all the edges of G. The arboricity, A(G), of a graph G is the minimum number of forests whose union covers all the edges of G. Clearly st(G)≥A(G). In fact, Algor and Alon have given examples which show that in some cases st(G) can be as large as A(G)+Ω(logΔ) (where Δ is the maximum degree of a vertex in G). We show that for any graph G, st(G)≤A(G)+O(logΔ).
Original language | English (US) |
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Pages (from-to) | 375-380 |
Number of pages | 6 |
Journal | Combinatorica |
Volume | 12 |
Issue number | 4 |
DOIs | |
State | Published - Dec 1992 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Discrete Mathematics and Combinatorics
- Computational Mathematics
Keywords
- AMS subject classification code (1991): 05C70, 60C05