Guochuan Zhang, Xiaoqiang Cai, et al.
IIE Transactions
Paper
On avoidable and unavoidable claws
Abstract
A claw of degree k is a directed tree consisting of k paths emerging from a common root. We prove that every claw of order n with degree less than 19/50n appears in every n-vertex tournament. We also construct avoidable claws with degree approaching 11/23n. Thus for large n, the maximum λ such that every claw with degree λn appears in every n-vertex tournament satisfies λ ≤ 11/23. This improves earlier bounds. © 1998 Elsevier Science B.V. All rights reserved.
Related
D.T. Lee, C.L. Liu, et al.
Theoretical Computer Science
Jin-Fuw Lee, D.L. Ostapko, et al.
IEEE/ACM International Conference on Computer-Aided Design, Digest of Technical Papers
Inder S. Gopal, Don Coppersmith, et al.
IEEE TC