We prove that there are intersection graphs of axis-aligned boxes in R3 and straight lines have arbitrarily large girth chromatic number.

We apply the tropical intersection theory developed by L. Allermann and J. Rau to compute intersection products of tropical Psi-classes on the moduli space of rational tropical curves. We show that in the case of zero-dimensional (stable) intersections, the resulting numbers agree with the intersection numbers of Psi-classes on the moduli space of n-marked rational curves computed in algebraic ...

This study was carried out to analyze the variations of Benzene, Toluene, and para- Xylene (BTp-X) present in the urban air of Delhi. These pollutants can enter into the human body through various pathways like inhalation, oral and dermal exposure posing adverse effects on human health. Keeping in view of the above facts, six different locations of Delhi were selected for the study during summe...

(b) the canonical class K of X is ample and the intersection number (ci.Kn−i) is negative for every i ≥ 2, where ci is the i-th Chern class of X. and (c) there is a finite cover G of X isomorphic to a (P1)n−1-bundle over a nonsingular curve C. The Euler characteristic e(X) of X is equal to e(G) = 2n−1e(C). Put X ′ = X × P and L′ = p1L⊗ p2O(m + 1). Then we have, by Künneth formula, H(X ′, L′−1) ...

‎let $r$ be a commutative ring with non-zero identity. ‎we describe all $c_3$‎- ‎and $c_4$-free intersection graph of non-trivial ideals of $r$ as well as $c_n$-free intersection graph when $r$ is a reduced ring. ‎also, ‎we shall describe all complete, ‎regular and $n$-claw-free intersection graphs. ‎finally, ‎we shall prove that almost all artin rings $r$ have hamiltonian intersection graphs. ...

In this paper, we provide an upper bound for the intersection number in join and corona of graphs. Moreover, give formulas Kn ◦G, Pn Cn ◦G Crn.