query: how to prove helly property of a tree
positive_passages.docid: 23008
positive_passages.text: For all $1 \leq i < j \leq k$, the subtrees $T_i$ and $T_j$ have a vertex in common. Show that $T$ has a vertex which is in all of the $T_i$.
negative_passages.docid: 44013
negative_passages.text: How many trees over ${1,2,3,...n}$ with conditions
negative_passages.docid: 129845
negative_passages.text: Prove that $T$ is a subgraph of $G$
negative_passages.docid: 156014
negative_passages.text: Tree complexity using gbm
negative_passages.docid: 10910
negative_passages.text: How many edges does an undirected tree with $n$ nodes have?
negative_passages.docid: 114043
negative_passages.text: Prove the existence of a real number satisfying a property
negative_passages.docid: 65574
negative_passages.text: How to prove that total number of non-isomorphic labelled trees of order $n$ is $n^{n-2}$?
negative_passages.docid: 130722
negative_passages.text: Can you prove this property?
negative_passages.docid: 106979
negative_passages.text: Prove the inequality and limitation
negative_passages.docid: 52108
negative_passages.text: how to prove Exponential is strictly positive?
negative_passages.docid: 158882
negative_passages.text: Prove the existence of some weird family of sets
negative_passages.docid: 39100
negative_passages.text: Exercise from Serre's "Trees" - prove that a given group is trivial
negative_passages.docid: 158802
negative_passages.text: Graph theory and tree company
negative_passages.docid: 106927
negative_passages.text: How do I prove $[G:H\cap K]\leq [G:H][G:K]$?
negative_passages.docid: 62455
negative_passages.text: Prove Equivalence Relation in G
negative_passages.docid: 88598
negative_passages.text: Property of $\{0^n, 1^n, \ldots\}$
negative_passages.docid: 145718
negative_passages.text: Proving that A connected graph on $n$ vertices is a tree iff it has $n-1$ edges