On the public citation graph
An Isoperimetric Inequality on the Discrete Torus
0 signed · 61 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf02122551openalex-snapshot
The chromatic number of random graphs
inferredcites →https://doi.org/10.1007/bfb0075912openalex-snapshot
Asymptotic Theory of Finite Dimensional Normed Spaces
inferredcites →https://doi.org/10.1016/0097-3165(91)90022-9openalex-snapshot
Isoperimetric inequalities and fractional set systems
inferredcites →https://doi.org/10.1016/s0021-9800(66)80059-5openalex-snapshot
Optimal numberings and isoperimetric problems on graphs
inferredcites →https://doi.org/10.1137/0133006openalex-snapshot
Extremal Configurations on a Discrete Torus and a Generalization of the Generalized Macaulay Theorem
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.2139/ssrn.4814559openalex-extracted
An Isoperimetric Inequality and Pursuit-Evasion Games on Triangular Grid Graphs
inferred← citeshttps://doi.org/10.1002/rsa.20171openalex-snapshot
The isoperimetric constant of the random graph process
inferred← citeshttps://doi.org/10.1007/11682462_22openalex-snapshot
Eliminating Cycles in the Discrete Torus
inferred← citeshttps://doi.org/10.1007/3-540-44520-x_129openalex-snapshot
Optimal Broadcasting in Even Tori with Dynamic Faults
inferred← citeshttps://doi.org/10.1007/3-540-46784-x_18openalex-snapshot
Two Broadcasting Problems in FaultyHypercubes
inferred← citeshttps://doi.org/10.1007/3-540-46784-x_23openalex-snapshot
Optimal Cuts for Powers of the Petersen Graph
inferred← citeshttps://doi.org/10.1007/978-3-319-02576-6openalex-snapshot
Coarse Geometry and Randomness
inferred← citeshttps://doi.org/10.1007/978-3-319-02576-6_1openalex-snapshot
Introductory Graph and Metric Notions
inferred← citeshttps://doi.org/10.1007/978-3-540-77120-3_8openalex-snapshot
Escaping Off-Line Searchers and a Discrete Isoperimetric Theorem
inferred← citeshttps://doi.org/10.1007/978-3-642-40104-6_36openalex-snapshot
Tight Bounds for Low Dimensional Star Stencils in the External Memory Model
inferred← citeshttps://doi.org/10.1007/bf01858458openalex-snapshot
Isoperimetric numbers of graph bundles
inferred← citeshttps://doi.org/10.1007/bf02773835openalex-snapshot
The subgaussian constant and concentration inequalities
inferred← citeshttps://doi.org/10.1007/s000260050003openalex-snapshot
An Edge-Isoperimetric Problem for Powers of the Petersen Graph
inferred← citeshttps://doi.org/10.1007/s000390050062openalex-snapshot
An Asymptotic Isoperimetric Inequality
inferred← citeshttps://doi.org/10.1007/s00373-018-1923-7openalex-snapshot
On a Problem by Shapozenko on Johnson Graphs
inferred← citeshttps://doi.org/10.1007/s00373-021-02341-6openalex-snapshot
Reconfiguring Dominating Sets in Minor-Closed Graph Classes
inferred← citeshttps://doi.org/10.1007/s00440-025-01456-8openalex-snapshot
Dynamical random field Ising model at zero temperature
inferred← citeshttps://doi.org/10.1007/s00453-007-9095-5openalex-snapshot
Eliminating Cycles in the Discrete Torus
inferred← citeshttps://doi.org/10.1007/s12220-021-00773-3openalex-snapshot
Isoperimetric Inequality on a Metric Measure Space and Lipschitz Order with an Additive Error
inferred← citeshttps://doi.org/10.1007/s43670-021-00014-2openalex-snapshot
Spatio-spectral limiting on discrete tori: adjacency invariant spaces
inferred← citeshttps://doi.org/10.1016/0012-365x(93)90284-zopenalex-snapshot
Maximal sets of given diameter in the grid and the torus
inferred← citeshttps://doi.org/10.1016/j.comgeo.2008.08.001openalex-snapshot
Escaping offline searchers and isoperimetric theorems
inferred← citeshttps://doi.org/10.1016/j.dam.2023.05.026openalex-snapshot
The boundary of a graph and its isoperimetric inequality
inferred← citeshttps://doi.org/10.1016/j.dam.2024.12.025openalex-snapshot
An isoperimetric inequality and pursuit-evasion games on triangular grid graphs
inferred← citeshttps://doi.org/10.1016/j.disc.2013.08.033openalex-snapshot
On the number of hypercubic bipartitions of an integer
inferred← citeshttps://doi.org/10.1016/j.disc.2018.10.011openalex-snapshot
Hunting rabbits on the hypercube
inferred← citeshttps://doi.org/10.1016/j.disc.2020.111902openalex-snapshot
Isoperimetry, stability, and irredundance in direct products
inferred← citeshttps://doi.org/10.1016/j.endm.2014.08.015openalex-snapshot
A problem of Shapozenko on Johnson graphs
inferred← citeshttps://doi.org/10.1016/j.spa.2018.12.001openalex-snapshot
Tunneling behavior of Ising and Potts models in the low-temperature regime
inferred← citeshttps://doi.org/10.1016/s0012-365x(02)00431-4openalex-snapshot
A local–global principle for vertex-isoperimetric problems
inferred← citeshttps://doi.org/10.1016/s0012-365x(99)00189-2openalex-snapshot
Edge isoperimetric inequalities for product graphs
inferred← citeshttps://doi.org/10.1016/s0129-6264(00)00006-8openalex-snapshot
TIGHTER TIME BOUNDS ON BROADCASTING IN TORUS NETWORKS IN PRESENCE OF DYNAMIC FAULTS
inferred← citeshttps://doi.org/10.1016/s0129-6264(02)00078-1openalex-snapshot
OPTIMAL BROADCASTING IN TORI WITH DYNAMIC FAULTS
inferred← citeshttps://doi.org/10.1016/s1571-0653(04)00054-xopenalex-snapshot
The Isoperimetric Number and The Bisection Width of Generalized Cylinders
inferred← citeshttps://doi.org/10.1017/s0963548303006035openalex-snapshot
On Phase Transition in the Hard-Core Model on ${\mathbb Z}^d$
inferred← citeshttps://doi.org/10.1017/s0963548309990319openalex-snapshot
Concentration on the Discrete Torus Using Transportation
inferred← citeshttps://doi.org/10.1017/s0963548397003350openalex-snapshot
Isoperimetric Inequalities for Cartesian Products of Graphs
inferred← citeshttps://doi.org/10.1080/00029890.2025.2500895openalex-snapshot
Triangle Inequalities Indexed by Graphs
inferred← citeshttps://doi.org/10.1093/imrn/rnz305openalex-snapshot
Volume Growth, Curvature, and Buser-Type Inequalities in Graphs
inferred← citeshttps://doi.org/10.1137/0222027openalex-snapshot
Theoretical Aspects of VLSI Pin Limitations
inferred← citeshttps://doi.org/10.1137/06065043xopenalex-snapshot
( t , k )-Diagnosability of Multiprocessor Systems with Applications to Grids and Tori
inferred← citeshttps://doi.org/10.1137/s0895480100375053openalex-snapshot
Extremal Sets Minimizing Dimension-Normalized Boundary in Hamming Graphs
inferred← citeshttps://doi.org/10.1137/s0895480194278234openalex-snapshot
An Ordering on the Even Discrete Torus
inferred← citeshttps://doi.org/10.1142/s0129054199000216openalex-snapshot
THE ISOPERIMETRIC NUMBER OF d–DIMENSIONAL k–ARY ARRAYS
inferred← citeshttps://doi.org/10.37236/2426openalex-snapshot
Vertex Isoperimetric Inequalities for a Family of Graphs on $\mathbb{Z}^k$
inferred← citeshttps://doi.org/10.37236/6403openalex-snapshot
A General Method to Determine Limiting Optimal Shapes for Edge-Isoperimetric Inequalities
inferred← citeshttps://doi.org/10.48550/arxiv.1202.4204openalex-snapshot
Vertex Isoperimetric Inequalities for a Family of Graphs on Z^k
inferred← citeshttps://doi.org/10.48550/arxiv.1205.6063openalex-snapshot
The Edge-Isoperimetric Problem in $(\mathbb{N}^2,\infty)$
inferred← citeshttps://doi.org/10.48550/arxiv.1206.3144openalex-snapshot
On phase transition in the hard-core model on ${\bf Z}^d$
inferred← citeshttps://doi.org/10.48550/arxiv.1309.3251openalex-snapshot
Edge Boundaries for a Family of Graphs on $\mathbb{Z}^n$
inferred← citeshttps://doi.org/10.48550/arxiv.1705.09725openalex-snapshot
Probabilistic and Geometrical Applications to Graph Theory
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.