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A Graph G is said to be an Unisum Graph if the nodes of G are numbered with distinct integers ranging from one to m+1 inclusive, where m is the number of edges of the graph G and the edges of G are uniquely represented by adding unity to the absolute difference between its corresponding end vertices, without repetition of any labels. In this paper various special graphs are designed and Unisum labeling is applied to these graphs. It is found that these special graphs satisfy the condition of Unisum labeling by carrying unique labels to their nodes and edges. [ABSTRACT FROM AUTHOR]

The increasing amount of space debris poses a risk to every space-vehicle and it turns out to be very deadly if it is a spacecraft carrying humans. Furthermore, with the burgeoning rate of space junk, there might soon come a point where this debris interferes with the capacity to utilise weather satellites and consequently reduce the efficiency of weather predictions. Hence space debris has become a serious menace. Significant damage to already working satellites is caused due to collisions at orbital velocities which also results in an increase in future space debris. To combat this threat, the International Space Station and certain other spacecrafts have been armoured. However, owing to the addition of armour and mitigation devices, satellites and human spaceflight vehicles like shuttles become exceedingly expensive and heavy. This research paper is a semi-technical overview that discusses space junk's growing literature and investigates the many origins, methods of measurement, impacts, and mitigation approaches. It also suggests several approaches for dealing with this issue more effectively and efficiently. This paper explains the many approaches for capturing space debris, including the utilisation of a nanobot and nanotube mesh system for recycling and energy generation. [ABSTRACT FROM AUTHOR]