A simple graph G is said to be regular if its vertices have the same number of neighbors. Otherwise, id="M2"> nonregular. So far, various formulas, such as Albertson index, total and degree deviation, been introduced quantify irregularity a graph. In this paper, we present sharp lower bounds for these indices in terms or...

The Internet of Things (IoT) refers to a large cyber-physical system centered around the Internet that connects not just computer systems but a plethora of systems, devices, and objects, collectively referred to as ”Things”. It encompasses technologies for identification and tracking, sensing and actuation, both wired and wireless communications, and also, intelligence and cognition. Wireless c...

BACKGROUND Menstrual irregularity is a common major complaint in women of reproductive age. It is also a known marker for underlying insulin resistance. We investigated the association between menstrual irregularity and metabolic syndrome in the general population of middle-aged women in Korea. METHODS This cross-sectional study used data from the Korea National Health and Nutrition Examinati...

K. Rastle and M. Coltheart (1999; see also M. Coltheart & K. Rastle, 1994) reported data demonstrating that the cost of irregularity in reading aloud low-frequency exception words is modulated by the position of the irregularity in the word. They argued that these data implicated a serial process and falsified all models of reading aloud that operate solely in parallel, a conclusion that M. Zor...

A hypergraph is k-irregular if there is no set of k vertices all of which have the same degree. We asymptotically determine the probability that a random uniform hypergraph is k-irregular.

Let G = (V,E), V = {1,2, . . . ,n}, be a simple graph without isolated vertices, with vertex degree sequence d1 ≥ d2 ≥ ·· · ≥ dn > 0, di = d(i). A graph G is regular if and only if d1 = d2 = · · · = dn. A graph invariant I(G) is measure of irregularity of graph G with the property I(G) = 0 if and only ifG is regular, and I(G)> 0 otherwise. In this paper we introduce some new irregularity measures.

In aortic stenosis, systemic arterial peak systolic pressure may remain relatively steady in the face of marked, arrhythmia-induced, variations in left ventricular peak systolic pressure. A possible basis for this phenomenon is presented. It is suggested that beat-tobeat variations in the systolic pressure gradient across the aortic valve region may not always reflect variations in stroke volume.