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The median of three vertices in a tree, showing the subtree formed by the union of shortest paths between the vertices. Every tree is a median graph. To see this, observe that in a tree, the union of the three shortest paths between pairs of the three vertices a, b, and c is either itself a path, or a subtree formed by three paths meeting at a single central node with degree three.
A median graph is an undirected graph in which for every three vertices , , and there is a unique vertex ,, that belongs to shortest paths between any two of , , and . If this is the case, then the operation x , y , z {\displaystyle \langle x,y,z\rangle } defines a median algebra having the vertices of the graph as its elements.
The median of a normal distribution with mean μ and variance σ 2 is μ. In fact, for a normal distribution, mean = median = mode. The median of a uniform distribution in the interval [a, b] is (a + b) / 2, which is also the mean. The median of a Cauchy distribution with location parameter x 0 and scale parameter y is x 0, the location parameter.
Median (graph theory), a vertex m(a,b,c) that belongs to shortest paths between each pair of a, b, and c; Median algebra, an algebraic triple product generalising the algebraic properties of the majority function; Median graph, undirected graph in which every three vertices a, b, and c have a unique median
The U.S. House of Representatives is expected to consider on Thursday what to do with a report on alleged sexual misconduct and drug use by ex-congressman Matt Gaetz, who has dropped his bid to ...
Steve Guttenberg hit the ground running to help people impacted by the fires in Pacific Palisades — and he was almost unrecognizable. The flames first began around 10:30 a.m. local time on ...
The squaregraphs include as special cases trees, grid graphs, gear graphs, and the graphs of polyominos. As well as being planar graphs , squaregraphs are median graphs , meaning that for every three vertices u , v , and w there is a unique median vertex m ( u , v , w ) that lies on shortest paths between each pair of the three vertices. [ 1 ]
An Aurora, Colorado judge granted the 'emergency closure' of The Edge at Lowry Apartments after multiple arrests and rumored gang activity.
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