Let G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovi6's relation ~9 defined on the edge-set of G. Then 2n-m-k ~< 2. Moreover, 2n-m-k = 2 if and only if G is cube-free. (~) 1998 Elsevier Science B.V. All rights reserved A median graph is a co
β¦ LIBER β¦
An Euler-type formula for
β Scribed by Michael J. Dancs; Tian-Xiao He
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 86 KB
- Volume
- 118
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
β¦ Synopsis
In this short paper, we give several new formulas for ΞΆ(n) when n is an odd positive integer. The method is based on a recent proof, due to H. Tsumura, of Euler's classical result for even n. Our results illuminate the similarities between the even and odd cases, and may give some insight into why the odd case is much more difficult.
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