Search results
Results from the WOW.Com Content Network
The diamond graph (left) and its more-symmetric line graph (right), an exception to the strong Whitney theorem. If the line graphs of two connected graphs are isomorphic, then the underlying graphs are isomorphic, except in the case of the triangle graph K 3 and the claw K 1,3, which have isomorphic line graphs but are not themselves isomorphic ...
Line chart showing the population of the town of Pushkin, Saint Petersburg from 1800 to 2010, measured at various intervals. A line chart or line graph, also known as curve chart, [1] is a type of chart that displays information as a series of data points called 'markers' connected by straight line segments. [2]
The n × n square rook's graph, i.e., the line graph of a balanced complete bipartite graph K n,n, is an srg(n 2, 2n − 2, n − 2, 2). The parameters for n = 4 coincide with those of the Shrikhande graph, but the two graphs are not isomorphic.
The primal graph G(H) of a hypergraph is the graph on the same vertex set that has as its edges the pairs of vertices appearing together in the same hyperedge. A hypergraph is said to be conformal if every maximal clique of its primal graph is a hyperedge, or equivalently, if every clique of its primal graph is contained in some hyperedge. [4]
The Kneser graph K(n, 1) is the complete graph on n vertices. The Kneser graph K(n, 2) is the complement of the line graph of the complete graph on n vertices. The Kneser graph K(2n − 1, n − 1) is the odd graph O n; in particular O 3 = K(5, 2) is the Petersen graph (see top right figure). The Kneser graph O 4 = K(7, 3), visualized on the right.
3. Broccolini. Just when you thought we were finished with the “broc“ family, here comes more! Yes, there’s a real difference between broccolini, broccoli rabe, and broccolini — and ...
It equals the chromatic number of the square of the line graph. Brooks' theorem, applied to the square of the line graph, shows that the strong chromatic index is at most quadratic in the maximum degree of the given graph, but better constant factors in the quadratic bound can be obtained by other methods. [3]
The world offers many shortcuts, false promises and temporary pleasures that seem appealing at the moment but ultimately slow us down in our pursuit of God.