Hello I have an algorithm question could you help me? Assume you are working on a project for your Wireless Networks class. You are currently studying the properties of a network of n mobile devices. As the devices move around, they define a graph at any point in time as follows: there is a node representing each of the n devices, and there is an edge between device i and device j if the physical locations of i and j are no more than 500 meters apart (If so, we say that i and j are in range of each other). Youd like it to be the case that the network of devices is connected at all times, and so you have constrained the motion of the devices to satisfy the following property: at all times, each device i is within 500 meters of at least other devices. (We will assume that n is even). What would you like to know is: Does this property by itself guarantee that the network will always remain connected? Here is a concrete way to formulate the question as a claim about graphs. Claim: Let G be a graph on n nodes, where n is an even number. If every node of G has degree at least (i.e., connected to at least other nodes), then G is connected. Decide whether you think the claim is true of false, and give a proof of either the claim or its negation.