We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
This paper describes a methodology for designing interconnected LAN-MAN networks with the objective of minimizing the average network delay. We consider IEEE 802.3-5 LANs intercon...
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
By Petersen’s theorem, a bridgeless cubic multigraph has a 2-factor. H. Fleischner generalised this result to bridgeless multigraphs of minimum degree at least three by showing ...
— Sensor networks are commonly used for security and surveillance applications. As sensor nodes have limited battery paower, computing, and storage resources, the energy efficie...
Andrei Gagarin, Sajid Hussain, Laurence Tianruo Ya...