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This category is for the families of graphs whose definitions depend on a set of numeric parameters. Pages in category "Parametric families of graphs" The following 51 pages are in this category, out of 51 total.
In the mathematical field of graph theory, the flower snarks form an infinite family of snarks introduced by Rufus Isaacs in 1975. [1] As snarks, the flower snarks are connected, bridgeless cubic graphs with chromatic index equal to 4. The flower snarks are non-planar and non-Hamiltonian.
In the case of a single parameter, parametric equations are commonly used to express the trajectory of a moving point, in which case, the parameter is often, but not necessarily, time, and the point describes a curve, called a parametric curve. In the case of two parameters, the point describes a surface, called a parametric surface.
The Petersen graph is the smallest snark. The flower snark J 5 is one of six snarks on 20 vertices.. In the mathematical field of graph theory, a snark is an undirected graph with exactly three edges per vertex whose edges cannot be colored with only three colors.
Both graphs show an identical exponential function of f(x) = 2 x. The graph on the left uses a linear scale, showing clearly an exponential trend. The graph on the right, however uses a logarithmic scale, which generates a straight line. If the graph viewer were not aware of this, the graph would appear to show a linear trend.
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Life on Earth would be so dull without animals. Lucky for us, there are more than 8 million different species of them on the planet, many of which we might never encounter in our lifetime. From ...
The Petersen graph is a well known non-Hamiltonian graph, but all odd graphs for are known to have a Hamiltonian cycle. [17] As the odd graphs are vertex-transitive , they are thus one of the special cases with a known positive answer to Lovász' conjecture on Hamiltonian cycles in vertex-transitive graphs.