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Can someone explain TREE(3) in extremely simple terms? TREE(3) is then defined as the longest possible number of turns of one of these games Even knowing that each game is finite, it's not immediate that TREE(3) is finite We have not ruled out the case that there is a game that lasts 1 turn, one lasting 2 turns, one that lasts 3 turns, etc for every finite length, in each game the player
probability - Three trees: Whats the chance of having at least one . . . I have 3 trees These particular trees are dioecious (male or female) I don't know the gender of any of the trees The chance of a tree being male or female is 50 50 I need at least one male and one female for successful pollination to occur What are the chances that I have at least one male and one female tree?
How to find non-isomorphic trees? - Mathematics Stack Exchange Clearly the maximum degree of a vertex in a tree with $5$ vertices must be $2,3$, or $4$ If there is a vertex of degree $4$, the tree must be this one: * | *--*--* | * At the other extreme, if the maximum degree of any vertex is $2$, the tree must be the chain of $5$ vertices: *--*--*--*--* That leaves the case in which there is a vertex of
Proving that the height of a 2-3 tree is between $\\log_3 N$ and $\\lg N$ For those who are unfamiliar with 2-3 trees, its a tree which guarantees $\lg N$ height by grouping at most two elements in a node, thereby ensuring that each level is filled with the maximum number of leaves Here is what I have so far: The minimum height occurs in a 2-3 tree only when each node is a 3 node
How many of the spanning trees, $K_n$ have vertex n as a leaf? So I looked at a few trees and saw that when n = 3 there are 3 trees, 2 of which can have the same vertex as a leaf Then when n = 4, there are 16 trees 9 of which can have the same vertex as a leaf
Two non-isomorphic trees - Mathematics Stack Exchange (OEIS A000055) While the number of trees with a fixed number of vertices increases exponentially one encounters pair of examples before it grows out of control A more elegant way is using a conceptual idea I outlined in the comments where one considers ways to modify a preexisting tree in such a way that most of the trees structure, number of
Number of trees which has specific vertex as a leaf? Now all trees has at least two leaves so let me pick another leaf and there are n-1 choices But there there are so many different possibilities and I'm stuck Thanks
Is there a nonexhaustive proof that the maximum number of spanning . . . The Petersen graph, in fact, has the most spanning trees out of all connected $10$-vertex $3$-regular (a k a cubic) graphs I believe this was first shown by Valdes in a 1991 conference paper I believe this was first shown by Valdes in a 1991 conference paper