Y.Egawa showed that any contraction critical k-connected graph has a fragment of cardinality at most k/4.Thus, for 4 ≤ k ≤ 7, the minimum degree of contractio
In this paper, we present some properties of new generalized array type polynomials and the generalized Hermite-based Apostol-Bernoulli polynomial containing pa
On basis of two definitions that 1.an induced subgraph by a vertex vi ∈ G and its neighbors in G is defined a vertex adjacent closed subgraph, and denoted by Q
The Kirchhoff index of a connected graph is the sum of resistance distances between all unordered pairs of vertices in the graph.It found considerable applicati
Let k be an arbitrary given positive integer and let f(x) ∈ Z[x] be a quadratic polynomial with D as its discriminant and a as the coefficient of its quadratic