Let F=∪i=1kSdi be the union of pairwise vertex-disjoint k stars order d1+1,…,dk+1, respectively, where k≥2 and d1≥⋯≥dk≥1. In this paper, we present two sharp upper bounds for spectral radius F-free (bipartite) graphs characterize all corresponding extremal graphs. Moreover, minimum least eigenvalue adjacency matrix an graph are obtained.

Let D1 ⊂ D2 be domains in C. Under very mild conditions on D2 we show that there exist holomorphic functions f , defined on D1 with the property that f is nowhere extendible across ∂D1, while the graph of f over D1 is not complete pluripolar in D2 × C. This refutes a conjecture of Levenberg, Martin and Poletsky [6].

Constitutive beta-catenin/Tcf activity, the primary transforming events in colorectal carcinoma, occurs through induction of the Wnt pathway or APC gene mutations that cause familial adenomatous polyposis. Mice carrying Apc mutations in their germ line (ApcMin) develop intestinal adenomas. Here, the crossing of ApcMin with cyclin D1-/- mice reduced the intestinal tumor number in animals genetic...

The promotion of cell survival and regeneration in acute renal failure (ARF) is important for the restitution of renal function. Epidermal growth factor (EGF) has been implicated in the regulation of cell proliferation. We provide evidence for a direct link between EGF, nuclear factor-kappaB (NF-kappaB), and cell cycle regulation (cyclin D1). EGF was found to stimulate NF-kappaB-dependent gene ...

To elucidate carcinogenesis in the endometrium, we investigated cyclin D1 immunoreactivities in 20 normal endometria, 20 endometrial hyperplasias and 141 endometrioid-type endometrial adenocarcinoma. We also evaluated the correlation of cyclin D1 expression with Ki-67, cyclin E, cyclin A, cdk2, p27 and p53, and clinicopathological parameters and prognosis. Cyclin D1 expression increased signifi...

The capacity of the cyclin D-dependent kinase to promote G(1) progression through modulation of RB.E2F is well documented. We now demonstrate that the cyclin D1/CDK4 kinase binds to components of the MCM complex. MCM7 and MCM3 were identified as cyclin D1-binding proteins. Catalytically active cyclin D1/CDK4 complexes were incorporated into chromatin-bound protein complexes with the same kineti...

For nonnegative integers d1, d2, and L(d1, d2)-labeling of a graph G, is a function f : V(G) 3 {0, 1, 2, . . .} such that f(u) f(v) di whenever the distance between u and v is i in G, for i 1, 2. The L(d1, d2)-number of G, d1,d2(G) is the smallest k such that there exists an L(d1, d2)-labeling with the largest label k. These labelings have an application to a computer code assignment problem. T...