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The application designer must currently foresee multiple service graphs if the Pervasive App is to be able to use various run-time-discovered sensor configurations for activity recognition.

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For a bipartite graph, if the cardinalities of and, denoted as and, are equal, then this bipartite graph is symmetric.

For a bipartite graph, if the cardinalities of and, denoted as and, are not equal, then this bipartite graph is asymmetric.

A graph is called a maximal planar graph if the planarity will be not held by joining any two nonadjacent vertices of.

Recall that G is a complete k-partite graph if the vertex set V can be partitioned into k parts (V_{1}, V_{2}, ldots,V_{k}) such that (uvin E(G)) if and only if u and v are in different parts.

The resulting network is a complete graph if the analyses used no threshold.

Each node corresponds to a point, and two nodes are connected in the graph if the corresponding two points are at distance smaller than a parameter ρ.

Two gene paths sharing at least one contig are merged into a gene graph if the reference sequences used to infer the gene paths are highly similar (i.e. with identity ≥70%).

For a tree graph, if the out- neighbours of the I nodes are all S in an r- motif, then this is true for all (r+1)- motifs generated from this r- motif.

The line graph of a graph, is a new graph that has nodes for each edge in the root (original) graph and an edge between two nodes of the line graph if the corresponding edges are adjacent in the root graph.

More formally, we add an edge between a pair of genes to the consolidation graph if the percent of identity (calculated as the number of identities over the length of the longer gene) of the BLAST hit between them exceeds a threshold P(L) given by the HSSP curve formula [ 25]: (1) P L = 100 L ≤ 11 c + 480.

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