Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  formulate a new theoretical problem, namely the  reliable broadcast problem in unknown fixed-identity networks . This problem arises in the context of developing decentralized security mechanisms in a specific-class of distributed systems: Consider an undirected graph  G  connecting  n  nodes where each node is  aware of only its neighbors  but not of the entire graph. Additionally, each node has a  unique identity  and cannot fake its identity to its neighbors. Assume that  k  among the  n  nodes act in an  adversarial  manner and the remaining  n-k  are  good  nodes. Under what constraints does there exist a distributed algorithm Γ that enables every good node  v  to reliably broadcast a message  m(v)  to all other good nodes in  G ? While good nodes follow the algorithm  Γ , an adversary can additionally discard messages, generate spurious messages or collude with other adversaries.,  prove two results on this problem. First,  provide a distributed algorithm  Γ  that can achieve reliable broadcast in an unknown fixed-identity network in the presence of  k  adversaries if  G  is  2k+1  vertex connected. Additionally, a minimum vertex connectivity of 2k+1 is a necessary condition for achieving reliable broadcast. Next,  study the problem of reliable broadcast in sparse networks (1-connected and 2-connected) in the presence of a single adversary i.e.  k=1 . In sparse networks,  show that a single adversary can partition the good nodes into groups such that nodes within a group can reliably broadcast to each other but nodes across groups cannot. For  1- connected and  2- connected graphs,  prove lor bounds on the number of such groups and provide a distributed algorithm to achieve these lor bounds.  also show that in a por-law random graph  G(n,α) , a single adversary can partition at most  O(n 1/α  x (log n) (5- α)/(3-α) )  good nodes from the remaining set of good nodes.Addressing this problem has practical implications to two real-world problems of paramount importance: (a) developing decentralized security measures to protect Internet routing against adversaries; (b) achieving decentralized public key distribution in static networks. Prior works on Byzantine agreement [17, 11, 23, 13, 3, 4, 24] are not applicable for this problem since they assume that either  G  is known, or that every pair of nodes can directly communicate, or that nodes use a key distribution infrastructure to sign messages. A solution to our problem can be extended to solve the byzantine agreement problem in unknown fixed-identity networks.
['Lakshminarayanan Subramanian', 'Randy H. Katz', 'Volker Roth', 'Scott Shenker', 'Ion Stoica']
I am writing a research paper on a idea Reliable broadcast in unknown fixed-identity networks
[{"from": "human", "value": "I am writing a research paper on a idea Reliable broadcast in unknown fixed-identity networks"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  formulate a new theoretical problem, namely the  reliable broadcast problem in unknown fixed-identity networks . This problem arises in the context of developing decentralized security mechanisms in a specific-class of distributed systems: Consider an undirected graph  G  connecting  n  nodes where each node is  aware of only its neighbors  but not of the entire graph. Additionally, each node has a  unique identity  and cannot fake its identity to its neighbors. Assume that  k  among the  n  nodes act in an  adversarial  manner and the remaining  n-k  are  good  nodes. Under what constraints does there exist a distributed algorithm \u0393 that enables every good node  v  to reliably broadcast a message  m(v)  to all other good nodes in  G ? While good nodes follow the algorithm  \u0393 , an adversary can additionally discard messages, generate spurious messages or collude with other adversaries.,  prove two results on this problem. First,  provide a distributed algorithm  \u0393  that can achieve reliable broadcast in an unknown fixed-identity network in the presence of  k  adversaries if  G  is  2k+1  vertex connected. Additionally, a minimum vertex connectivity of 2k+1 is a necessary condition for achieving reliable broadcast. Next,  study the problem of reliable broadcast in sparse networks (1-connected and 2-connected) in the presence of a single adversary i.e.  k=1 . In sparse networks,  show that a single adversary can partition the good nodes into groups such that nodes within a group can reliably broadcast to each other but nodes across groups cannot. For  1- connected and  2- connected graphs,  prove lor bounds on the number of such groups and provide a distributed algorithm to achieve these lor bounds.  also show that in a por-law random graph  G(n,\u03b1) , a single adversary can partition at most  O(n 1/\u03b1  x (log n) (5- \u03b1)/(3-\u03b1) )  good nodes from the remaining set of good nodes.Addressing this problem has practical implications to two real-world problems of paramount importance: (a) developing decentralized security measures to protect Internet routing against adversaries; (b) achieving decentralized public key distribution in static networks. Prior works on Byzantine agreement [17, 11, 23, 13, 3, 4, 24] are not applicable for this problem since they assume that either  G  is known, or that every pair of nodes can directly communicate, or that nodes use a key distribution infrastructure to sign messages. A solution to our problem can be extended to solve the byzantine agreement problem in unknown fixed-identity networks."}]