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A cubic graph (all vertices have degree three) of girth g that is as small as possible is known as a g-cage (or as a (3,g)-cage).The Petersen graph is the unique 5-cage (it is the smallest cubic graph of girth 5), the Heawood graph is the unique 6-cage, the McGee graph is the unique 7-cage and the Tutte eight cage is the unique 8-cage. [3]
It was also known since Erdős (1959) that, for every and there exist -chromatic graphs with girth . [2] In connection with these two results and several examples including the Chvátal graph, Branko Grünbaum conjectured that for every k {\displaystyle k} and ℓ {\displaystyle \ell } there exist k {\displaystyle k} -chromatic k {\displaystyle ...
Girth is sometimes used by postal services and delivery companies as a basis for pricing. For example, Canada Post requires that an item's length plus girth not exceed a maximum allowed value. [4] For a rectangular box, the girth is 2 * (height + width), i.e. the perimeter of a projection or cross section perpendicular to its length.
Some examples are the even cycles C 2n, the complete bipartite graphs K n,n with girth four, the Heawood graph with degree 3 and girth 6, and the Tutte–Coxeter graph with degree 3 and girth 8. More generally it is known that, other than the graphs listed above, all Moore graphs must have girth 5, 6, 8, or 12. [ 6 ]
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Crypto influencer allegedly bought millions worth of watches, cars, and gems
[1] [2] [3] Elsewhere in the world it is measured at a height of 1.3 meters (4.3 ft), [4] 1.35 meters (4.4 ft) [5] 1.4 meters (4.6 ft), [6] [7] or 1.5 meters (4.9 ft). [8] The base of the tree is measured for both height and girth as being the elevation at which the pith of the tree intersects the ground surface beneath, or where the acorn ...
In the mid-1960s, to defeat the advantage of the recently introduced computers for the then popular rally racing in the Midwest, competition lag times in a few events were given in centids (1 ⁄ 100 day, 864 seconds, 14.4 minutes), millids (1 ⁄ 1,000 day, 86.4 seconds), and centims (1 ⁄ 100 minute, 0.6 seconds) the latter two looking and ...