This formula was proved in [2] by means of generating functions. ## 2. INTERPRETATION OF THE FORMULA'S SUMMANDS Our bijection is based on an appropriate lattice-path-interpretation for the formula's summands (pointed out by Krattenthaler [4]): Clearly, we article no. TA962754 154 0097-3165Γ97 25.0
On Number of Circles Intersected by a Line
β Scribed by Lu Yang; Jingzhong Zhang; Weinian Zhang
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 394 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0097-3165
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## Abstract Let Ξ»(__G__) be the lineβdistinguishing chromatic number and __x__β²(__G__) the chromatic index of a graph __G__. We prove the relation Ξ»(__G__) β₯ __x__β²(__G__), conjectured by Harary and Plantholt. Β© 1993 John Wiley & Sons, Inc.