Density (r/g cm-3) and viscosity (h/10-2gcm-1s-1=1centipoise,CP) of guanosine monophosphate (GMP) and adenosine triphosphate (ATP) referred to as nucleotide, and 2-deoxy adenosine (DOA) and thymidine (TMD) as nucleoside along with their integral furanose sugar, 2-deoxy ribose (DOR) from 0.0004 to 0.0014mol kg<su...

Let f be a nonnegative integer valued function on the vertex set of graph. A graph is strictly f-degenerate if each nonempty subgraph ? has v such that deg?(v)<f(v). In this paper, we define new concept, transversal, which generalizes list coloring, signed DP-coloring, L-forested-coloring, and (f1,f2,…,fs)-partition. cover G H with V(H)=?v?V(G)Xv, where Xv={(v,1),(v,2),…,(v,s)}; edge M=?uv?E(G)...

Definition 1.3 (Subgraph). Let G = (V, E) and H = (V ′, E′) be two graphs. H is a subgraph of G if V ′ ⊆ V and E′ ⊆ E. H is a proper subgraph is V ′ ( V or E′ ( E. Definition 1.4 (Vertex Induced Subgraph). Let G = (V, E) and V ′ ⊆ V . The subgraph of G induced by V is a graph H = (V ′, E′) where E′ = {{u, v} ∈ E|u ∈ V ′, v ∈ V ′}. Definition 1.5 (Edge Induced Subgraph). Let G = (V, E) and E′ ⊆ ...

Abstract Suppose G and H are bipartite graphs $L: V(G)\to 2^{V(H)}$ induces a partition of $V(H)$ such that the subgraph induced between $L(v)$ $L(v')$ is matching, whenever $vv'\in E(G)$ . We show for each $\varepsilon&gt;0$ if has maximum degree D $|L(v)| \ge (1+\varepsilon )D/\log D$ all $v\in V(G)$ , then admits an independent transversal with respect to L provided sufficiently large. This ...

Mice expressing the immunoglobulin (Ig) heavy (H) chain variable (V) region from a rearranged V(H)12 gene inserted into the IgH locus generate predominantly B-1 cells, whereas expression of two other V(H) region transgenes (V(H)B1-8 and V(H)glD42) leads to the almost exclusive generation of conventional, or B-2, cells. To determine the developmental potential of B cells bearing two distinct B c...

Let H = (V, E) be a hypergraph, where V is set of vertices and E non-empty subsets called edges. If all edges have the same cardinality r, then an r-uniform hypergraph; if consists r-subsets V, complete denoted by $$K_n^r$$ , n |V|. A hypergraph H′ (V′, E′) subhypergraph V′ ⊆ E′ E. The edge-connectivity minimum edge F such that − not connected, F). An k-edge-maximal every has at most k, but for...

background: child ho od cancer, as o n e of the life thre at ening and most serio u s health pro b lems, co n si d er a bly i n fl u en ce s the cogniti v e and soci a l functions of children with c ancer and the i r families; ho w e ver, sur p risin gl y e n ough, t h ese chil d ren are q u ite co mpatible w ith their pe ers and even fu n ction bet t er emotio n ally compa r ed with norm a l c...