Sensor localization has become an essential requirement for many applications over wireless sensor networks. Radio irregularity and stringent constraints on hardware cost and battery power, however, make localization very challenging. Range-based localization depends on special-purpose hardware for direct measurement of the distance to reference points. Range-free localization, in contrast, doe...

A function ϕ : V ( G )→{1, 2, …, k } of a simple graph is said to be non-inclusive distance vertex irregular -labeling if the sums labels vertices in open neighborhood every are distinct and an inclusive closed each different. The minimum for which has (resp. inclusive) called irregularity strength denoted by d i s ) ). In this paper, join product graphs investigated.

“The physiologic capabilities of the heart are enormous, and in judging the effect of any undue exertion on it, we must not regard the murmurs of the irregularity alone, but must also consider carefully, the way in which the heart is doing its work, its strength, as shown by its ability to maintain proper arterial tension, and its recuperative power. As with other muscles, not size but quality ...

“The physiologic capabilities of the heart are enormous, and in judging the effect of any undue exertion on it, we must not regard the murmurs of the irregularity alone, but must also consider carefully, the way in which the heart is doing its work, its strength, as shown by its ability to maintain proper arterial tension, and its recuperative power. As with other muscles, not size but quality ...