We show that various surface parameters in two-dimensional diffusion limited aggregation (DLA) grow linearly with the number of particles. We find the ratio of the average length of the perimeter and the accessible perimeter of a DLA cluster together with its external perimeters to the cluster size, and define a microscopic schematic procedure for attachment of an incident new particle to the c...

This paper reports throughput maximization over various fading channels for cluster-based cooperative spectrum sensing in cognitive radio. For that purpose, the secondary users are grouped into clusters and effect of different fusion rules on Nakagami, Weibull, Rayleigh Rician is investigated. Inside each cluster, i.e., intra fusion, OR ( $$m=1$$ ) AND $$m=K$$ considered. Further, a formula pro...

Cluster Editing is a classical graph theoretic approach to tackle the problem of data set clustering: it consists of modifying a similarity graph into a disjoint union of cliques, i.e, clusters. As pointed out in a number of recent papers, the cluster editing model is too rigid to capture common features of real data sets. Several generalizations have thereby been proposed. In this paper, we in...

As a classic clustering algorithm, LEACH is widely used in wireless sensor networks. Due to the random cluster head selection process, LEACH does not guarantee optimization for the number and position of cluster heads. In order to further optimize LEACH, an optimal energyefficient cluster-heads selection algorithm LEACH-G for LEACH protocol is presented. We calculate the optimal number of clust...

The structural characteristics of clusters are investigated in the partitioning process. Two partition functions, which show opposite properties around the optimal cluster number, are found and a new cluster validity index is presented based on the combination of these functions. Some properties of the index function are discussed and numerical examples are presented. key words: clustering, val...

ABSTRACT We present a method of combining cluster abundances and large-scale two-point correlations, namely galaxy clustering, galaxy–cluster cross-correlations, autocorrelations, lensing. This data vector yields comparable cosmological constraints to traditional analyses that rely on small-scale lensing for mass calibration. use survey simulations designed resemble the Dark Energy Survey Year ...