Search results
Results from the WOW.Com Content Network
The linear eccentricity of an ellipse or hyperbola, denoted c (or sometimes f or e), is the distance between its center and either of its two foci. The eccentricity can be defined as the ratio of the linear eccentricity to the semimajor axis a: that is, = (lacking a center, the linear eccentricity for parabolas is not defined).
Edge contraction is used in the recursive formula for the number of spanning trees of an arbitrary connected graph, [6] and in the recurrence formula for the chromatic polynomial of a simple graph. [7] Contractions are also useful in structures where we wish to simplify a graph by identifying vertices that represent essentially equivalent entities.
The logical width of a graph is the minimum number of variables in a sentence that defines it. [17] In the sentence outlined above, this number of variables is again +. Both the logical depth and logical width can be bounded in terms of the treewidth of the given graph. [18]
There are a great number of algorithms that exploit this property and are therefore able to compute the shortest path a lot quicker than would be possible on general graphs. All of these algorithms work in two phases. In the first phase, the graph is preprocessed without knowing the source or target node. The second phase is the query phase.
The 11 light blue triangles form maximal cliques. The two dark blue 4-cliques are both maximum and maximal, and the clique number of the graph is 4. In graph theory, a clique (/ ˈ k l iː k / or / ˈ k l ɪ k /) is a subset of vertices of an undirected graph such that every two distinct vertices in the clique are adjacent.
Eccentric, concentric, and isometric phases are all distinct parts of most exercises you do in your workouts. Here's what they mean and how to use them. Eccentric, concentric, and isometric phases ...
By formulating MAX-2-SAT as a problem of finding a cut (that is, a partition of the vertices into two subsets) maximizing the number of edges that have one endpoint in the first subset and one endpoint in the second, in a graph related to the implication graph, and applying semidefinite programming methods to this cut problem, it is possible to ...
In graph theory, a branch of mathematics, the circuit rank, cyclomatic number, cycle rank, or nullity of an undirected graph is the minimum number of edges that must be removed from the graph to break all its cycles, making it into a tree or forest. It is equal to the number of independent cycles in the graph (the size of a cycle basis).