Sentence examples for is adjacent with from inspiring English sources

Note that every vertex of K n is adjacent with other n−1 vertices.

The composition (also called lexicographic product [26]) G = G 1 [ G 2 ] of graphs G 1 and G 2 with disjoint vertex sets V ( G 1 ) and V ( G 2 ) and edge sets E ( G 1 ) and E ( G 2 ) is the graph with vertex set V ( G 1 ) × V ( G 2 ) and ( u i, v j ) is adjacent with ( u k, v ℓ ) whenever u i is adjacent with u k, or u i = u k and v j is adjacent with v ℓ.

Moreover, K 2 ⊎ G is the graph of K 2 and G with the vertex set V ( K 2 × G ) = V ( K 2 ) × V ( G ) and ( u i, v j ) ( u k, v ℓ ) is an edge of K 2 × G whenever ( u i = u k and v j is adjacent with v ℓ ) or ( u i ≠ u k and v j is adjacent with v ℓ ).

Example 4 H ( K n ⊛ ) = 3 n 2 + 4 H ( K n ) = 2 n 2 − n 2. The disjunction G 1 ⊗ G 2 of graphs G 1 and G 2 is the graph with vertex set V ( G 1 ) × V ( G 2 ) and ( u i, v j ) is adjacent with ( u k, v ℓ ) whenever u i u k ∈ E ( G 1 ) or v j v ℓ ∈ E ( G 2 ).

Moreover, K 2 ⊔ G is the graph of K 2 and G with the vertex set V ( K 2 ⊔ G ) = V ( K 2 ) × V ( G ) and ( u i, v j ) ( u k, v ℓ ) is an edge of K 2 × G whenever ( u i = u k and v j is adjacent with v ℓ ) or ( u i ≠ u k and v j is nonadjacent with v ℓ ).

As seen from the structure of ATOH8, the protein comprises two predicted sites of NLS, and one of them is adjacent with the serine-rich region (SRR).

In the proposed version, departments which are nonadjacent yet close to each other are considered to be adjacent with a smaller adjacency rating.

They are adjacent with the common wall being that they use one of the five core technologies.

With (2.10), the sequences and are adjacent with the limit (2.15).

Six of 16 prefectures in Yunnan are adjacent with Myanmar, with nearly 2,000 kilometers of international borders.

Upon completion of reproductive isolation, the depth distributions of the two groups were adjacent with large overlap (Fig. 1a).