A k-total edge product cordial labeling is a variant of the well-known cordial labeling. In this paper we characterize graphs admitting a 2total edge product cordial labeling. We also show that dense graphs and regular graphs of degree 2(k − 1) admit a k-total edge product cordial labeling.

168 INTRODUCTION The current interdomain routing system for the Internet, based on the Border Gateway Protocol (BGP), achieves scalability by exploiting address hierarchy and summarizability. However, multihoming (MH), traffic engineering (TE), and mobility between networks are threatening the hierarchical address aggregation and are already pushing the BGP routing tables to the limit. Although...

An edge coloring of a graph is a function assigning colors to edges so that incident edges acquire distinct colors. The least number of colors su'cient for an edge coloring of a graph G is called its chromatic index and denoted by ′(G). Let (G) be the maximal degree of G; if ′(G) = (G), then G is said to belong to class 1, and otherwise G is said to belong to class 2. A total coloring of a grap...

Trace elements (TE) play an essential role in all organisms due to their functions in enzyme complexes. In anaerobic digesters, control, and supplementation of TEs lead to stable and more efficient methane production processes while TE deficits cause process imbalances. However, the underlying metabolic mechanisms and the adaptation of the affected microbial communities to such deficits are not...

In conventional aspect-ratio tokamaks, electron cyclotron (EC) waves can provide local heating and current drive. However, the high-β spherical tokamak (ST) plasma conditions cut off propagation of EC waves. The electron Bernstein wave (EBW) does not experience a density cut off and is strongly absorbed and emitted at the EC harmonics, allowing EBWCD to be used in STs for current profile contro...