Two cycles are adjacent if they have an edge in common. Suppose that G is a planar graph, for any two adjacent cycles C1 and C2, we have |C1| + |C2| ≥ 11, in particular, when |C1| = 5, |C2| ≥ 7. We show that the graph G is 3-colorable.

MAGE-C1/CT7 and MAGE-C2/CT10 are members of the large MAGE family of cancer-testis (CT) antigens. CT antigens are promising targets for immunotherapy in cancer because their expression is restricted to cancer and germ line cells and a proportion of cancer patients presents with immune responses against CT antigens, which clearly demonstrates their immunogenicity. This study investigates the exp...

We calculate one-loop renormalization factors of bilinear quark operators for gluon action including six-link loops and O(a)-improved quark action in the limit of massless quark. We find that finite parts of one-loop coefficients of renormalization factors diminish monotonically as either of the coefficients c1 or c2 + c3 of the six-link terms are decreased below zero. Detailed numerical result...

For (S, ) a measurable space, let C1 and C2 be convex, weak∗ closed sets of probability measures on . We show that if C1 ∪ C2 satisfies the Lyapunov property, then there exists a set A ∈ such that minμ1∈C1 μ1(A)>maxμ2∈C2 μ2(A). We give applications to Maxmin Expected Utility (MEU) and to the core of a lower probability.

The C proteins, C1 and C2, are major constituents of the heterogeneous nuclear RNA (hnRNA) ribonucleoprotein (hnRNP) complex in vertebrates. C1 and C2 are antigenically related phosphoproteins that are in contact with hnRNA in intact cells and bind to RNA tightly in vitro. A cDNA clone for the C proteins was isolated by immunological screening of a human lambda gt11 expression vector cDNA libra...

This paper develops a method to determine consistenly the integration of spatial integrity specifications, particularly for the case when two constraints, c1 and c2, are applied between three classes A, B, C (i.e., A c1 B and B c2 C), as such scenarios give rise to an implied consistency constraint c3 that holds between A and C. To determine c3, the mere composition reasoning with c1 and c2 is ...

Soil and water salinity substantially constrain crop and biomass production. To investigate the changes in morphological parameters of lisianthus (Eustoma grandiflorum) cultivars under CaCl2 salinity conditions a greenhouse experiment was conducted. Cultivars namely, ‘Champagne’ (C1), ‘Lime Green’ (C2), ‘Blue Picotee’ (C3) and ‘Pure White’ (C4), were subjected to salt stress (0–30 mM CaCl2) in ...

We present a theoretical study of the effect of weak anchoring on the transition between C1 and C2 chevron structures in smectic C liquid crystals. We employ a continuum theory which allows for variable cone, azimuthal and layer tilt angles. Equilibrium profiles for the director cone and azimuthal angles in the C1 and C2 states are calculated from the standard Euler-Lagrange minimisation of the...

We consider a variant of Heilbronn’s triangle problem by asking for fixed dimension d ≥ 2 for a distribution of n points in the d-dimensional unit-cube [0, 1] such that the minimum (2-dimensional) area of a triangle among these n points is maximal. Denoting this maximum value by Δoff−line d (n) and Δ on−line d (n) for the off-line and the online situation, respectively, we will show that c1 ·(l...

We have investigated the relationship between viral DNA replication and virion sense gene expression in wheat dwarf virus (WDV), a member of the geminivirus group, by testing a series of deletion mutants in transfected Triticum monococcum (einkorn) protoplasts. Mutants contained a transcription fusion of the chloramphenicol acetyltransferase coding sequence to the virion sense promoter that rep...