Gravity in d dimensions is formulated as the gauge theory of local SO(2,d-1) gauge group. The Chern-Pontryagin index P2n plays a crucial role in both gravity and gauge theories. P2n(gravity) gives the gravitational Lagrangian in 2n dimensions, having the vacuum solution AdS2n. The same but global symmetry is shared with the gauge theories and 0,1-cochains of the Chern-Simon index C2n(gauge) tak...

In this paper, we develop a new method to produce explicit formulas for the number τ(n) of spanning trees in the undirected circulant graphs Cn(s1, s2, . . . , sk) and C2n(s1, s2, . . . , sk, n). Also, we prove that in both cases the number of spanning trees can be represented in the form τ(n) = p n a(n), where a(n) is an integer sequence and p is a prescribed natural number depending only of p...

The lupus-like disease that develops in hybrids of NZB and NZW mice is genetically complex, involving both MHC- and non-MHC-encoded genes. Studies in this model have indicated that the H2d/z MHC type, compared with H2d/d or H2z/z, is critical for disease development. C57BL/6 (B6) mice (H2b/b) congenic for NZB autoimmunity 2 (Nba2), a NZB-derived susceptibility locus on distal chromosome 1, prod...

The fractionation of D and 13C in HCO+ was investigated in the R Coronae Australis molecular cloud core. The distributions of H13CO+ and DCO+ were found to be morphologically similar but their column density maxima were found to lie in different locations. The H13CO+/HC18O+ abundance ratio was found to vary little from 10 within the mapped region, in excellent agreement with the 13CO/C18O abund...

Partial cubes are graphs isometrically embeddable into hypercubes. In this paper it is proved that every cubic, vertex-transitive partial cube is isomorphic to one of the following graphs: K2ƒC2n, for some n ≥ 2, generalized Petersen graph G(10, 3), permutahedron, truncated cuboctahedron, or truncated icosidodecahedron. This complete classification of cubic, vertex-transitive partial cubes, a f...