… Graph Structure Definition: A subgraph of a graph G is a graph H whose vertices and
edges are all in G. If H is a subgraph of G, we may also say that G is a supergraph of H. …

… that a graph G has vertex set V and edge set E, we write G = (V,E). To emphasize that V
and E are the vertex set and edge set of a graph G, we often write V as V (G) and E as E(G). …

… refer to the diagram of a graph G as G itself. A few … G) (ie, if uv is an edge of a graph G), then
we say e joins the vertices u and v. Two vertices u and v are adjacent in a graph G if uv = E(G…

… In this paper, we provide representations of the vertices of a connected graph G by other
means, namely, through partitions of V (G) and the distances between each vertex of …

Deep learning is a class of machine learning methods that are gaining success and attracting
interest in many domains, including computer vision, speech recognition, natural language …

… For vertices u and v in a connected graph G, the detour distance … G is called a detour graph
if b“(u, v) equals the standard distance between u and v in G for every pair u, v of vertices of G…

… of vertices of G is called a geodetic set in G if I(S) = V(G), and a … geodetic set in G is called
the geodetic number g(G). The graph … set of G × K2, which will imply that g(G × K2) ≤ g(G). This …

… For graphs G and H we use G∪H to denote the disjoint union of G and H and G+H to denote
the graph obtained from the disjoint union of G and H by joining every vertex of G with every …

… As another example, consider the graph G of Figure 2(a), where a rainbow 4coloring c of G
is also shown. In fact, c is a minimum rainbow coloring of G and so rc(G)=4, as we now verify. …

… the same is the chromatic number of G. If the chromatic number of a graph G is k, then it’s …
When there is a vertex coloring of a graph G, with k colors say, then each vertex of G can be …