Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: An interval temporal network is, informally speaking, a network whose links change with time. The term interval means that a link may exist for one or more time intervals, called availability intervals of the link, after which it does not exist until, maybe, a further moment in time when it starts being available again. In this model,  consider continuous time and high-speed instantaneous information dissemination. An interval temporal network is connected during a period of time [x,i¾źy], if it is connected for all time instances $$t \in [x,y]$$ instantaneous connectivity. In this work,  study instantaneous connectivity issues of interval temporal networks.  provide a polynomial-time algorithm that ansrs if a given interval temporal network is connected during a time period. If the network is not connected throughout the given time period, then  also give a polynomial-time algorithm that returns large components of the network that remain connected and remain large during [x,i¾źy]; the algorithm also considers the components of the network that start as large at time $$t=x$$ but dis-connect into small components within the time interval [x,i¾źy], and ansrs how long after time $$t=x$$ these components stay connected and large. Finally,  examine a case of interval temporal networks on tree graphs where the lifetimes of links and, thus, the failures in the connectivity of the network are not controlled by us; hover,  can "feed" the network with extra edges that may re-connect it into a tree when a failure happens, so that its connectivity is maintained during a time period.  show that  can with high probability maintain the connectivity of the network for a long time period by making these extra edges available for re-connection using a randomised approach. Our approach also saves some cost in the design of availabilities of the edges; here, the cost is the sum, over all extra edges, of the length of their availability-to-reconnect interval.
['Eleni C. Akrida', 'Paul G. Spirakis']
I am writing a research paper on a idea On Verifying and Maintaining Connectivity of Interval Temporal Networks
[{"from": "human", "value": "I am writing a research paper on a idea On Verifying and Maintaining Connectivity of Interval Temporal Networks"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: An interval temporal network is, informally speaking, a network whose links change with time. The term interval means that a link may exist for one or more time intervals, called availability intervals of the link, after which it does not exist until, maybe, a further moment in time when it starts being available again. In this model,  consider continuous time and high-speed instantaneous information dissemination. An interval temporal network is connected during a period of time [x,i\u00be\u017ay], if it is connected for all time instances $$t \\in [x,y]$$ instantaneous connectivity. In this work,  study instantaneous connectivity issues of interval temporal networks.  provide a polynomial-time algorithm that ansrs if a given interval temporal network is connected during a time period. If the network is not connected throughout the given time period, then  also give a polynomial-time algorithm that returns large components of the network that remain connected and remain large during [x,i\u00be\u017ay]; the algorithm also considers the components of the network that start as large at time $$t=x$$ but dis-connect into small components within the time interval [x,i\u00be\u017ay], and ansrs how long after time $$t=x$$ these components stay connected and large. Finally,  examine a case of interval temporal networks on tree graphs where the lifetimes of links and, thus, the failures in the connectivity of the network are not controlled by us; hover,  can \"feed\" the network with extra edges that may re-connect it into a tree when a failure happens, so that its connectivity is maintained during a time period.  show that  can with high probability maintain the connectivity of the network for a long time period by making these extra edges available for re-connection using a randomised approach. Our approach also saves some cost in the design of availabilities of the edges; here, the cost is the sum, over all extra edges, of the length of their availability-to-reconnect interval."}]