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Parity on the number of rooted trees

score 488 · Answer 1 · 2026-03-29 16:49:37

488

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Parity on the number of rooted trees

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score 140 · Answer 2 · 2026-03-29 15:32:19

140

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score 390 · Answer 3 · 2021-03-06 19:27:12

390

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score 1.4k · Answer 4 · 2026-03-26 06:25:44

1.4k

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score 277 · Answer 5 · 2026-03-29 14:02:12

277

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score 374 · Answer 6 · 2021-03-11 10:33:12

374

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Let $n \geq 4$. How many labeled trees are there with $n$ vertices where vertex with label 1 has degree 3?

Published on 11 Mar 2021 - 10:33

score 28 · Answer 7 · 2021-03-11 12:32:10

28

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score 37 · Answer 8 · 2021-03-12 09:39:41

37

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score 101 · Answer 9 · 2021-03-17 23:21:37

101

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score 43 · Answer 10 · 2021-03-23 14:21:10

43

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Why do $\prod_{i=1}^{n} c_{i} !$ out of the $n!$ different ways to label a tree give rise to the same unordered labelled tree?

Published on 23 Mar 2021 - 14:21

score 828 · Answer 11 · 2021-03-24 09:12:58

828

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score 47 · Answer 12 · 2021-03-26 02:21:38

47

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score 89 · Answer 13 · 2026-03-28 22:37:08

89

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score 561 · Answer 14 · 2021-03-28 13:38:09

561

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score 34 · Answer 15 · 2021-03-31 04:46:20

34

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List Question

Parity on the number of rooted trees

How to define a Parse Tree, and the equality of parse tree?

Finding the Tree for Prufer Code

Find a formula for leaves in tree

The distribution of the uniform random tree

Let $n \geq 4$. How many labeled trees are there with $n$ vertices where vertex with label 1 has degree 3?

References for trees and digraphs formed from iterated functions

Full Binary Trees - Maximizing the arithmetic mean of powers of leaf node levels.

Finding the number of spanning tree of a particular graph

Why do $\prod_{i=1}^{n} c_{i} !$ out of the $n!$ different ways to label a tree give rise to the same unordered labelled tree?

Find a weighted graph with $5$ vertices has exactly two minimal spanning trees

Number of ways to apply a function taking any number of inputs and producing one output to $n$ items

Order-theoretic tree with infinitely repeating colouring

Example of a Dedekind completion of a tree

Binary Search Tree Induction

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