The phrase "a graph with a" is correct and usable in written English.
You can use it when describing a specific type of graph or when indicating a characteristic of the graph.
Example: "The report includes a graph with a clear representation of the data trends over the past year."
Alternatives: "a chart featuring a" or "a diagram containing a".
The secret to persevering is an understanding of the "learning curve", a graph with a line that rises, then dips, only to rise higher.
I draw a graph with a line whose integral represents his growing anger; it is identical to the line denoting my confusion.
We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a graph with a free action of a discrete group, as defined by Sunada (Sun).
The swarm is modeled as a Markov random field (MRF) on a graph with a time-varying neighborhood system determined by local interaction links.
Let G="(V,E) be a graph with a source node s and a sink node t, |V|= n,|E|= m.
In 1924, a Johns Hopkins biologist, Raymond Pearl, published a graph with a U-shaped curve, its tall strands on either side representing the higher death rates of heavy drinkers and nondrinkers; in the middle were moderate drinkers, with the lowest rates.
Theorem 6 A constant c whose MNSD is S(c) > 3 × 2p − 2+ 2Ω c) + q − 2with q = {1, 2,…, (p − Ω(c) − 1)} only can be obtained by using a graph with A-depth at least equal to p + 1 if up to p + q A-operations are used, or with at least p + q + 1 A-operations if the minimum A-depth equal to p is preserved.
In the current implementation the required input file format is a depth-first traversal of a graph with an explicitly declared root.
Such a graph, with an ECG-like flicker, has recently appeared in the Economist: there are clear peaks corresponding to whenever the US government has tried to rescue the banks.
Those should help Niantic extend its revenue winning streak, giving us a graph with an even bigger delta between Go and its closest competitors next time around.
In other words, it has been proved that there may be a graph with an exponential number of maximal cliques, which implies that any algorithm that solves MCEP for an arbitrary given graph would be exponential.
