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The number of connected simple cubic graphs on 4, 6, 8, 10, ... vertices is 1, 2, 5, 19, ... (sequence A002851 in the OEIS). A classification according to edge connectivity is made as follows: the 1-connected and 2-connected graphs are defined as usual. This leaves the other graphs in the 3-connected class because each 3-regular graph can be ...
Hermite's problem is an open problem in mathematics posed by Charles Hermite in 1848. He asked for a way of expressing real numbers as sequences of natural numbers, such that the sequence is eventually periodic precisely when the original number is a cubic irrational.
The lambda (λ) is a unit of volume equal to one cubic millimetre (1 mm 3). The litre (symbol l or L) is a unit of volume equal to one cubic decimetre (1 dm 3). The stere (st) is a unit of volume equal to 1 m 3.
Tucker cubic (cubic K011 in the Catalogue) of triangle ABC drawn using the GeoGebra command Cubic(A,B,C,11). GeoGebra, the software package for interactive geometry, algebra, statistics and calculus application has a built-in tool for drawing the cubics listed in the Catalogue. [3] The command Cubic( <Point>, <Point>, <Point>, n)
The Hadwiger–Nelson problem on the chromatic number of unit distance graphs [92] Jaeger's Petersen-coloring conjecture: every bridgeless cubic graph has a cycle-continuous mapping to the Petersen graph [93] The list coloring conjecture: for every graph, the list chromatic index equals the chromatic index [94]
One cubic metre, one kilolitre or one stère—volume of a large domestic fridge-freezer (external dimensions) 3.85 × 10 1: External volume of a standard 20-foot ("TEU") cargo container, which has a capacity of 33.1 cubic metres 7.7 × 10 1: External volume of a standard 40-foot ("FEU") cargo container, which has a capacity of 67.5 cubic metres
According to Brooks' theorem every connected cubic graph other than the complete graph K 4 has a vertex coloring with at most three colors. Therefore, every connected cubic graph other than K 4 has an independent set of at least n/3 vertices, where n is the number of vertices in the graph: for instance, the largest color class in a 3-coloring has at least this many vertices.
every cubic bridgeless graph without Petersen minor has a cycle double cover. [13] is the smallest cubic graph with Colin de Verdière graph invariant μ = 5. [14] is the smallest graph of cop number 3. [15] has radius 2 and diameter 2. It is the largest cubic graph with diameter 2. [b] has 2000 spanning trees, the most of any 10-vertex cubic ...