More formally, a graph is a knight subgraph if it is an isomorphism of some

connected subgraph of the infinite knight's graph.

c]) which represents the maximal connected subgraph of G having all nodes of degree greater than one.

Hence, we performed our tests on connected subgraphs of [G.

A tree in G is a

connected subgraph T = (V', E') containing no cycles.

A dominating set is connected if it induces a

connected subgraph.

A cycle C in a graph is a

connected subgraph in which the degree of every vertex in C is two.

A spanning tree of a

connected subgraph induced by S [union] T in G is called a Steiner tree.

A prominent feature of Fedwire is that 25 nodes form a densely

connected subgraph to which all the remaining nodes connect.

3 A subset of simple roots K [subset or equal to] [DELTA] is called connected if the induced Dynkin diagram of K is a

connected subgraph of the Dynkin diagram of [DELTA].

A soliton graph G is elementary if its allowed edges form a

connected subgraph covering all the external vertices.

Then the collection of monochromatic edges forms a

connected subgraph of G.

We decompose T into a set of k

connected subgraphs [V.