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Let $n \ge 9$. How many trees are there on vertex set $[n]$ such that at least one vertex has degree $n-3$?
combinatorics
graph-theory
trees
What does $\lg x$ mean? is it $\log_2 x$ or $\log_{10} x$ in binary trees
algebra-precalculus
logarithms
definition
trees
Proving every tree has at most one perfect matching
graph-theory
trees
Counting $k$-ary labelled trees
combinatorics
trees
Graph Theory - Minimum Spanning Tree (MST) Question
graph-theory
trees
discrete-optimization
Condition on degrees for existence of a tree
graph-theory
trees
How can I prove the identity $2(n-1)n^{n-2}=\sum_k\binom{n}{k}k^{k-1}(n-k)^{n-k-1}$?
combinatorics
graph-theory
binomial-coefficients
trees
Number of rooted subtrees of given size in infinite d-regular tree
combinatorics
graph-theory
trees
Show that if G is a simple graph with at least 4 vertices and 2n-3 edges, it must have two cycles of the same length.
discrete-mathematics
graph-theory
trees
Partition a binary tree by removing a single edge
algorithms
graph-theory
trees
Ordinal interpretation of Friedman's $n$?
logic
proof-writing
order-theory
ordinals
trees
How many edges does an undirected tree with $n$ nodes have?
graph-theory
trees
Need a counter example for cycle in a graph
discrete-mathematics
graph-theory
trees
How do I visualize a tree dfs traversal?
graph-theory
algorithms
trees
Is there a "tree-like" proof of compactness theorem in the case of uncountably many variables?
logic
set-theory
compactness
trees
Proof that TREE(n) where n >= 3 is finite?
graph-theory
set-theory
trees
big-numbers
Number of all labeled, unordered rooted trees with $n$ vertices and $k$ leaves.
combinatorics
trees
How many different spanning trees of $K_n \setminus e$ are there?
combinatorics
graph-theory
trees
Tree and total probability rule (two events)
probability
trees
set-partition
Does every "balloon" (dragon, tadpole, canoe paddle) admit a graceful labeling?
discrete-mathematics
reference-request
graph-theory
problem-solving
trees
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