let g_1 and g_2 be simple connected graphs with disjoint vertex sets v(g_1) and v(g_2), respectively. for given vertices a_1in v(g_1) and a_2in v(g_2), a splice of g_1 and g_2 by vertices a_1 and a_2 is defined by identifying the vertices a_1 and a_2 in the :union: of g_1 and g_2. in this paper, we present exact formulas for computing some vertex-degree-based graph invariants of splice of graphs.

Let G_1 and G_2 be simple connected graphs with disjoint vertex sets V(G_1) and V(G_2), respectively. For given vertices a_1in V(G_1) and a_2in V(G_2), a splice of G_1 and G_2 by vertices a_1 and a_2 is defined by identifying the vertices a_1 and a_2 in the union of G_1 and G_2. In this paper, we present exact formulas for computing some vertex-degree-based graph invariants of splice of graphs.

hypohidrotic ectodermal dysplasia (hed) is a rare congenital disorder arising from deficient development of ectoderm-derived structures including skin, nails, glands and teeth. the phenotype of hed is associated with mutation in eda, edar, edaradd and nemo genes, all of them disruptingnf-κb signaling cascade necessary for initiation, formation and differentiation in the embryo and adult. here w...

Splice regulators play an essential role in the transcriptomic diversity of all eukaryotic cell types and organ systems. Recent evidence suggests a contribution splice-regulatory networks many diseases, such as cardiomyopathies. Adaptive splice regulators, RNA-binding motif protein 20 (RBM20) determine physiological mRNA landscape formation, rare variants RBM20 gene explain up to 6% genetic dil...

the vertex-edge wiener index of a simple connected graph g is defined as the sum of distances between vertices and edges of g. two possible distances d_1(u,e|g) and d_2(u,e|g) between a vertex u and an edge e of g were considered in the literature and according to them, the corresponding vertex-edge wiener indices w_{ve_1}(g) and w_{ve_2}(g) were introduced. in this paper, we present exact form...

todeschini et al. have recently suggested to consider multiplicative variants of additive graphinvariants, which applied to the zagreb indices would lead to the multiplicative zagrebindices of a graph g, denoted by ( ) 1  g and ( ) 2  g , under the name first and secondmultiplicative zagreb index, respectively. these are define as  ( )21 ( ) ( )v v gg g d vand ( ) ( ) ( )( )2 g d v d v gu...

Placing column lap-splice in the locations of possible nonlinear deformation may adversely affect the structures response to strong ground motions. Localization of damage in splice zone may change the structural response and prevent the load redistribution and development of a uniform pattern of nonlinear excursions among the various members. Validated by existing laboratory experiments, this s...

The grouted sleeve splice is a competitive in the prefabricated structure that plays key role ensuring stability of whole structure. Despite large amounts experiments performed, its force mechanism has rarely been explored. In this study, novel method was developed to calculate constitutive model splice, and comprehensive understanding analyzed. Tensile tests 24 specimens were conducted explore...