Network reliability: Heading out on the highway

Classes of uniformly most reliable graphs for all-terminal reliability

(2019) Kassie Archer et al.   DISCRETE APPLIED MATHEMATICS

On the reliability roots of simplicial complexes and matroids

(2019) J.I. Brown et al.   DISCRETE MATHEMATICS

Central limit theorems from the roots of probability generating functions

(2019) Marcus Michelen et al.   ADVANCES IN MATHEMATICS

The shape of node reliability

(2018) Jason I. Brown et al.   DISCRETE APPLIED MATHEMATICS

On the unimodality of independence polynomials of very well-covered graphs

(2018) J.I. Brown et al.   DISCRETE MATHEMATICS

On uniformly most reliable two-terminal graphs

(2018) Hayley Bertrand et al.   NETWORKS

Hodge theory for combinatorial geometries

(2018) Karim Adiprasito et al.   ANNALS OF MATHEMATICS

A recursive formula for the two-edge connected and biconnected reliability of a complete graph

(2017) Thomas Lange et al.   NETWORKS

Detecting resilient structures in stochastic networks: A two-stage stochastic optimization approach

(2017) Maciej Rysz et al.   NETWORKS

Factorization and exact evaluation of the source-terminal diameter-constrained reliability

(2017) Eduardo Canale et al.   NETWORKS

Network design with probabilistic capacities

(2017) Alper Atamtürk et al.   NETWORKS

Inflection points of reliability polynomials are dense in [0,1]

(2016) Jason Brown et al.   NETWORKS

On the roots of the node reliability polynomial

(2016) Jason Brown et al.   NETWORKS

h-Vectors of matroids and logarithmic concavity

(2015) June Huh   ADVANCES IN MATHEMATICS

On a Random Walk Survivability problem with arc failures and memory

(2015) Burak Büke et al.   NETWORKS

Optimal response to epidemics and cyber attacks in networks

(2015) Noam Goldberg et al.   NETWORKS

Diameter constrained reliability: Complexity, distinguished topologies and asymptotic behavior

(2015) Eduardo Canale et al.   NETWORKS

An effective algorithm for computing all-terminal reliability bounds

(2015) Jaime Silva et al.   NETWORKS

Stochastic maximum weight forest problem

(2015) Pablo Adasme et al.   NETWORKS

The average reliability of a graph

(2014) J.I. Brown et al.   DISCRETE APPLIED MATHEMATICS

Reliability polynomials having arbitrarily many inflection points

(2014) Christina Graves et al.   NETWORKS

Maximizing lifetime and handling reliability in wireless sensor networks

(2014) Raffaele Cerulli et al.   NETWORKS

The f -vector of a representable-matroid complex is log-concave

(2013) Matthias Lenz   ADVANCES IN APPLIED MATHEMATICS

Nonexistence of optimal graphs for all terminal reliability

(2013) J. I. Brown et al.   NETWORKS

Inflection points for network reliability

(2013) Jason I. Brown et al.   TELECOMMUNICATION SYSTEMS

Log-concavity of characteristic polynomials and the Bergman fan of matroids

(2012) June Huh et al.   MATHEMATISCHE ANNALEN

Connectedness of finite distance graphs

(2012) Domingo Gómez-Pérez et al.   NETWORKS

Algebraic methods applied to shortest path and maximum flow problems in stochastic networks

(2012) K. C. Hastings et al.   NETWORKS

On the unimodality of independence polynomials of some graphs

(2010) Yi Wang et al.   EUROPEAN JOURNAL OF COMBINATORICS

High-confidence estimation of small s-t reliabilities in directed acyclic networks

(2010) Rico Zenklusen et al.   NETWORKS

The most likely path on series-parallel networks

(2010) Daniel Reich et al.   NETWORKS

The closure of the set of roots of strongly connected reliability polynomials is the entire complex plane

(2009) J.I. Brown et al.   DISCRETE MATHEMATICS

Chip firing and all-terminal network reliability bounds

(2009) Jason I. Brown et al.   Discrete Optimization

The diameter and connectivity of networks with random dependent faults

(2009) Evangelos Kranakis et al.   NETWORKS

The β-reliable minimax and maximin location problems on a network with probabilistic weights

(2009) Jiamin Wang   NETWORKS

On the roots of strongly connected reliability polynomials

(2009) J. I. Brown et al.   NETWORKS

A survey of some network reliability analysis and synthesis results

(2009) F.T. Boesch et al.   NETWORKS

A mean-variance model for the minimum cost flow problem with stochastic arc costs

(2009) Stephen D. Boyles et al.   NETWORKS

Minimizing a stochastic maximum-reliability path

(2008) Feng Pan et al.   NETWORKS

Reliability of interconnection networks modeled by Cartesian product digraphs

(2008) Chao Yang et al.   NETWORKS