this article is intended to be a survey on some combinatorial topics in group theory. the bibliography at the end is neither claimed to be exhaustive, nor is it necessarily connected with a reference in the text. i include it as i see it revolves around the concepts which are discussed in the text.

Agarwal introduced $n$-color compositions in 2000 and most subsequent research has focused on restricting which parts are allowed. Here we focus instead allowed colors. After three general results, giving recurrence formulas for the cases of given colors, prohibited colors satisfying modular conditions, consider several more specific establishing direct connections to other combinatorial object...

vendor selection decisions are complicated by the fact that various conflicting multi-objective factors must be considered in the decision making process. the problem of vendor selection becomes still more compli-cated with the inclusion of incremental discount pricing schedule. such hard combinatorial problems when solved using meta heuristics produce near optimal solutions. this paper propose...

sink location is considered as a basic service in geographic routing in wireless sensor networks. obtaining the location of sink node by source node using an efficient method with low complexity has always been a challenging issue in research. in this paper, a sink location algorithm based on fano plane is proposed. the research challenge is how to ensure the intersection of two slq and sla rou...

Algorithms for many geometric queries rely on representations that are comprised of combinatorial (logical, incidence) information, usually in a form of a graph or a cell complex, and geometric data that represents embeddings of the cells in the Euclidean space E. Whenever geometric embeddings are imprecise, their incidence relationships may become inconsistent with the associated combinatorial...

spinal cord injury (sci) is one of the devastating conditions leading to functional and neurological deficits following road traffic accidents. to date, there is no definite treatment for repairing damaged spinal cord tissue. in this regard, cell therapy opens a new window in front of scientists by using different cells such as mesenchymal stem cells, olfactory ensheathing cells, schwann cells,...

Under very mild conditions, we prove that the number of components in a decomposable logarithmic combinatorial structure has a distribution which is close to Poisson in total variation. The conditions are satisfied for all assemblies, multisets and selections in the logarithmic class.The error in the Poisson approximation is shown under marginally more restrictive conditions to be of exact orde...