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Mutually graceful trees: различия между версиями
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Glk (обсуждение | вклад) (Новая страница: «'''Mutually graceful trees''' --- взаимно грациозные деревья. Let <math>T_{p}</math> and <math>\theta_{p}</math> be two trees with vertices…») |
ALEXM (обсуждение | вклад) Нет описания правки |
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be called ''' mutually graceful''' if it satisfies the following | be called ''' mutually graceful''' if it satisfies the following | ||
conditions: | conditions: | ||
<math> | |||
\{f(t_{i})\} \cup \{f(u_{i})\} = \{1, 2, \ldots, | |||
2q\} \mbox{ for } i = 1, 2, \ldots, q(=p-1); | 2q\} \mbox{ for } i = 1, 2, \ldots, q(=p-1); | ||
</math> | |||
<math> | |||
f(t_{p}) = 2q + 1, f(u_{p}) = 2q + 2; | |||
</math> | |||
and the vertex labels of each of the two trees --- with exception of | and the vertex labels of each of the two trees --- with exception of | ||
the highest ones defined by (2) --- are at the same time the induced | the highest ones defined by (2) --- are at the same time the induced | ||