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Let $T$ be a tree on 100 vertices. Let $n_i$ be the number of vertices in $T$ which have exactly $i$ neighbors. Let $s= \Sigma_{i=1}^{100} i . n_i$ Which of the following is true?

  1. $s=99$
  2. $s=198$
  3. $99 \: < \: s \: < \: 198$
  4. None of the above
asked in Graph Theory by Veteran (75.6k points)   | 31 views

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