Sentence examples for by attaching a path from inspiring English sources
Let H be the 5-vertex graph obtained by attaching a path on two vertices to a vertex of a triangle.
Let (U_{n}^{1}) be the unicyclic graph obtained by attaching a path on two vertices to the vertex of degree (n-5) of (S_{n-2} n-5,3,3 S_{n-2} n-5,3,3 S_{n-2} n-5,3,3
Let (U_{n}^{2}) be the unicyclic graph obtained by attaching a path on two vertices to the vertex of degree two of (S_{n-2} n-4,3,2 S_{n-2} n-4,3,2 S_{n-2} n-4,3,2
Cardoso et al. [4] propose this problem and show that the minimum value of (kappa(G)) is attained uniquely in the unicyclic graph obtained from the cycle (C_{3}) by attaching a path at one of its end vertices.
Cardoso et al. [4] proposed this problem and proved that the minimum value of (kappa(G)) of a connected non-bipartite graph G of order n is attained solely in the unicyclic graph that arises from a cycle of order 3 by attaching a path at one of its end vertices.
Denote by (T_{n,k,gamma_{k}}) the tree formed from (S_{n-kgamma_{k}}) by attaching a path (P_{k-1}) to (v_{1}) and attaching a path (P_{k}) to (v_{i}) for each (iin{2,ldots,gamma_{k}}), as shown in Figure 3.
Denote by T n, d the tree obtained from the path P d − 1 and the star S n − d + 2 by identifying one pendent vertex of them, and by U n, d the undirected unicyclic graph obtained from the cycle C 4 by attaching a pendent vertex of the path P d − 2 and n − d − 1 pendent edges to its two non-adjacent vertices, respectively; see Figure 1.
For example, by attaching a vibration source underneath a bed of 3D printed hair, objects can move along a path you design, or different objects can be sorted according to weight one moves at a certain frequency and falls off the bed of hair, while another stays put.
Attach 2 to each other by attaching an end around a bend.
