In this instance, the vertices are given by the trail marker sings, and the edges are given by the sections of the trail joining the trail markers. As you might expect, it is possible to see associations between the mathematical meaning of the word tree and the images evoked by the everyday meaning of the word tree . So, the mathematical meaning of the word tree can be related quite directly to the 'everyday' meaning of the word tree .
Trees are connected graphs that contain no loops.
Trees are often used in information storage and retrieval systems. Algorithms A sorting algorithm is an outline or description of a procedure for arranging data in a particular order. This file isn't very organized at the moment - you might end up having to go through every person's card to find the one you are looking for. To me, the most immediate way of organizing this file would be to arrange it in alphabetical order, by last name. For a file of only six cards, you could just pick them all up, and put them back in the file box in alphabetical order.