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A triangle-free graph is a graph which contains no triangle.
Figure 4 shows a factor graph, which contains variable nodes (VNs) and function nodes (FNs).
It's similar to Facebook's 'social graph' (which contains highly descriptive data about how people are connected) but instead is about how knowledge is connected.
Pseudo-minimal and minimal sensor sets are organized into an oriented graph which contains all the possible reconfiguration paths for which the system remains observable.
Moreover, this map is actually a graph which contains nodes to represent concepts and labeled links explaining the relationship among the concepts [31].
Let G be a connected graph which contains a bipartite branch B with root v. Let x be an eigenvector of G corresponding to (kappa(G)).
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In this paper we give a complete linear description of the dominant of the associated polytope in a class of graphs called perfectly Steiner 2-edge connected graphs, which contains series parallel graphs.
We defined the TNM as a connected sub-graph which contains more than two node types with degree larger than one, and their connecting edges (edge types are optional).
Graph C ∗ -algebras of countable graphs which contain infinite emitters were introduced in [63] (2000); these motivated the definition of Leavitt path algebras of such graphs in [9] (2006).
In particular we shall consider the classes of extended P4-laden graphs, p-trees (graphs which contain exactly n−3 P4's) and (q,q−3 -graphs,q−3 -graphsthat no set of at most q≥7erticesuchduces more that q−3 distinotset4's.
In particular we shall consider the classes of extended P4-laden [16], p-trees [3] (graphs which contain exactly n−3 P4's) and (q,q−3 -graphs,q−3 -graphsuch that no set of at most q≥7ertices induces more that q−3 distincts P4's.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com