activity
20052017
most citedComponent Evolution in General Random Intersection Graphs

28 citations · 58 across the 11 of their papers we have counts for

collaborators

14 papers

cs.GT2017

Quantifying the Benefits of Infrastructure Sharing

Matthew Andrews, Milan Bradonjic, Iraj Saniee

We analyze the benefits of network sharing between telecommunications operators. Sharing is seen as one way to speed the roll out of expensive technologies such as 5G since it allo…

math.PR2016

Scaling Laws for Maximum Coloring of Random Geometric Graphs

Sem Borst, Milan Bradonjić

We examine maximum vertex coloring of random geometric graphs, in an arbitrary but fixed dimension, with a constant number of colors. Since this problem is neither scale-invariant…

math.PR2013

Bootstrap Percolation on Periodic Trees

Milan Bradonjić, Iraj Saniee

We study bootstrap percolation with the threshold parameter and the initial probability on infinite periodic trees that are defined as follows. Each node of a tree ha…

math.PR2013

Containing Viral Spread on Sparse Random Graphs: Bounds, Algorithms, and Experiments

Milan Bradonjić, Michael Molloy, Guanhua Yan

Viral spread on large graphs has many real-life applications such as malware propagation in computer networks and rumor (or misinformation) spread in Twitter-like online social net…

math.PR2013★ 6 cited

On Sharp Thresholds in Random Geometric Graphs

Milan Bradonjić, Will Perkins

We give a characterization of vertex-monotone properties with sharp thresholds in a Poisson random geometric graph or hypergraph. As an application we show that a geometric model o…

cs.DM2013★ 11 cited

The phase transition in inhomogeneous random intersection graphs

Milan Bradonjić, Aric Hagberg, Nicolas W. Hengartner +2

We analyze the component evolution in inhomogeneous random intersection graphs when the average degree is close to 1. As the average degree increases, the size of the largest compo…

math.OC2012★ 4 cited

Optimal recovery of damaged infrastructure network

Alexander Gutfraind, Milan Bradonjić, Tim Novikoff

Natural disasters or attacks may disrupt infrastructure networks on a vast scale. Parts of the damaged network are interdependent, making it difficult to plan and optimally execute…

math.PR2012

Bootstrap Percolation on Random Geometric Graphs

Milan Bradonjić, Iraj Saniee

Bootstrap percolation has been used effectively to model phenomena as diverse as emergence of magnetism in materials, spread of infection, diffusion of software viruses in computer…

math.PR2011

On the Mixing Time of Geographical Threshold Graphs

Andrew Beveridge, Milan Bradonjić

We study the mixing time of random graphs in the -dimensional toric unit cube generated by the geographical threshold graph (GTG) model, a generalization of random geo…

math.OC2011★ 1 cited

Stochastic Optimal Control for Online Seller under Reputational Mechanisms

Milan Bradonjić, Matthew Causley, Albert Cohen

In this work we propose and analyze a model which addresses the pulsing behavior of sellers in an online auction (store). This pulsing behavior is observed when sellers switch betw…

cs.DM2010★ 28 cited

Component Evolution in General Random Intersection Graphs

Milan Bradonjic, Aric Hagberg, Nicolas W. Hengartner +1

Random intersection graphs (RIGs) are an important random structure with applications in social networks, epidemic networks, blog readership, and wireless sensor networks. RIGs can…

cs.DS2008★ 5 cited

Near-Optimal Radio Use For Wireless Network Synchronization

Milan Bradonjic, Eddie Kohler, Rafail Ostrovsky

We consider the model of communication where wireless devices can either switch their radios off to save energy, or switch their radios on and engage in communication. We distill a…

cs.GT2007★ 3 cited

Exploration via design and the cost of uncertainty in keyword auctions

Sudhir Kumar Singh, Vwani P. Roychowdhury, Milan Bradonjić +1

We present a deterministic exploration mechanism for sponsored search auctions, which enables the auctioneer to learn the relevance scores of advertisers, and allows advertisers to…

cs.IT2005

Application of Generating Functions and Partial Differential Equations in Coding Theory

Milan Bradonjic

In this work we have considered formal power series and partial differential equations, and their relationship with Coding Theory. We have obtained the nature of solutions for the…