The local chromatic number of a graph G, as introduced in [4], is the minimum integer k such that G admits a proper coloring (with an arbitrary number of colors) in which the neighborhood of each vertex uses less than k colors. In [17] a connection of the local chromatic number to topological properties of (a box complex of) the graph was established and in [18] it was shown that a topological ...

We develop a theory of modulus sheaves with transfers, which generalizes Voevodsky's transfers. This paper and its sequel are foundational for the motives modulus, is developed in [KMSY20].

rndetermination of rock mass deformation modulus is very important in different projects, especially in civil and mining engineering works. in-situ measurements such as dilatometer, plate load and flat jack methods may be applied to determine the deformation modulus. however, these methods are very expensive and time- consuming. analytical methods are very useful approaches which can also be us...

resilient modulus of pavement materials is a key property required for the pavement thickness design. this paper describes the results of an experimental study on the effects of temperature and loading frequency on the resilient modulus of a sbs polymer modified asphalt concrete under dry and saturated conditions. dynamic creep tests were conducted on dry and saturated specimens of the mixture ...

In the current paper, finite element method is employed for numerical simulations and the study of influential parameters on elastic modulus of polymer-matrix nano-composites. Effects of different key parameters including particle elastic modulus, interphase elastic modulus, matrix elastic modulus, interphase thickness and particle volume fraction on total elastic modulus of nano-composite mate...

in the current paper, finite element method is employed for numerical simulations and the study of influential parameters on elastic modulus of polymer-matrix nano-composites. effects of different key parameters including particle elastic modulus, interphase elastic modulus, matrix elastic modulus, interphase thickness and particle volume fraction on total elastic modulus of nano-composite mate...

in this research, a braiding-pultrusion production line is developed by modifying a conventional textile maypole braiding machine and adding it to a pultrusion line for production of braid-pultruded (bp) composite rods. in order to evaluate the mechanical properties of bp rods and study the effect of some braiding parameters, they were produced with different braid roving linear densities and b...

Dynamic modulus characterizes the viscoelastic behavior of asphalt materials and is the most important input parameter for design and rehabilitation of flexible pavements using Mechanistic–Empirical Pavement Design Guide (MEPDG). Laboratory determination of dynamic modulus is very expensive and time consuming. To overcome this challenge, several predictive models were developed to determine dyn...