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This graph contains loops of unbounded size.
Note that this graph contains two separate axes: one for median annual rainfall and one for LOWESS smoothed annual rainfall.
This graph contains n nodes in which each node has its demand d i (depot is located in node 1).
Let Δ be the smallest integer so that for any finite V⊆X for which the unit-disc graph is connected, this graph contains a spanning tree with maximum degree ⩽Δ.
Consider the graph (Gamma '=Gamma ^{W_1cup ldots cup W_k}=(V',E'),, V'=(V{setminus }(mathop {cup }nolimits _{ige 1}^k W_i cup {w}.) This graph contains a sink w, which is a descendant of all vertices in (V') by Lemma 12.
This graph contains two types of nodes, either representing an xref or a pathway.
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It generates a graph of n nodes and m edges by randomly connecting two nodes by an edge and repeat this procedure until the graph contains m edges.
This is repeated as long as the graph contains cycles.
The lower right quadrant of the graph contains samples from the mine adit LCD-1 (n = 2).
The largest cluster in the graph contains the majority of gamma-, beta-and alpha-proteobacterial genera.
Here, the OG represented by node 2 contains two inparalogous subgroups, due to which the graph contains a loop.
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