Sentence examples for be an induced graph from inspiring English sources
For each node vi, the set of its neighbors is denoted as Vi' = {vi1, vi2,..., vik} and let Ni = (Vi', Ei) be an induced graph of G. Define Ci = 2|Ei|/k k-1) (if k ≤ 1, C i= 0), where k denotes the number of nodes in Vi'.
A graph G s is said to be an induced subgraph of a graph G if all vertices of graph G s belong to the set of vertices of graph G, and there is an edge between two vertices in graph G s if and only if there is an edge between those two vertices in graph G.
For example, in Figure 2, graph c is an induced subgraph of graph a.
A graphlet is an induced subgraph of graph X that contains all edges of X connecting its nodes (Fig. 2).
In Figure 2, graph c is an induced subgraph of both graphs a and b, and is a common induced subgraph of graphs a and b.
In particular, we obtain a new method of bounding the size of a clique in an edge-regular graph with given parameters, which can improve on the Hoffman bound when applicable, and a new method for studying the possibility of a graph with given vertex-degree sequence being an induced subgraph of a strongly regular graph with given parameters.
A graph property is called loose antimonotone if in each graph of size n with the property there is an induced subgraph of size n − 1 with the property.
A common induced subgraph between the graphs G1 and G2 are two graphs G s 1 and G s 2, such that G s 1 is an induced subgraph of G1, G s 2 is an induced subgraph of G2 and G s 1 and G s 2 are isomorphic.
Finally, a further approach of fitting PPI networks to specific graph classes was proposed by Zotenko et al. [ 17] who find for a given PPI network a close chordal graph, that is, a graph without induced cycles of length four or more.
