Sentence examples for certain graph from inspiring English sources

In this section, we obtain several fixed point results for set-valued selfmaps on (CB X)) satisfying certain graph contraction conditions.

In this paper, we establish the existence of fixed points for set-valued mappings satisfying certain graph contractions with set-valued domain endowed with a graph.

In this paper we prove that under certain conditions, the final clusters obtained by the algorithm are nothing but the connected components of a certain graph with the input data-points as vertices.

Thus we will concentrate on certain graph structures which we call leading vertex graphs (LVG).

In this algorithm, the uncertain graph is converted to the certain graph.

The contributions of this work include the development of minimal qualitative circuit models and simulation algorithms, an understanding of their relationship to certain graph-theoretic properties of circuits and the relevance of such models for fault modelling in FMEA tasks.

The proof is based on estimates of chromatic numbers of certain graphs on Zn.

For certain graphs, various found proofs will share common subsets, which are simulated redundantly.

Certain graphs from among those in G v,δ) with maximum girth have a special property called trace-minimality.

Ramsey's theorem is a result in infinitary combinatorics, established by Frank Ramsey (1930), and deals with possibilities of "colouring" for certain graphs.