#### Submissions from 2021

Graphs with few trivial characteristic ideals, Carlos A. Alfaro, Michael D. Barrus, John Sinkovic, and Ralihe R. Villagrán

A Level-1 Limit Order Book with Time Dependent Arrival Rates, Jonathan A. Chávez-Casillas, Robert J. Elliott, Bruno Rémillard, and Anatoliy V. Swishchuk

Properties of basins of attraction for planar discrete cooperative maps, M. R.S. Kulenović, J. Marcotte, and O. Merino

Asymptotic behavior of a discrete-time density-dependent SI epidemic model with constant recruitment, M. R.S. KulenoviĆ, M. NurkanoviĆ, and Abdul Aziz Yakubu

#### Submissions from 2020

New restrictions on defective coloring with applications to steinberg-type graphs, Addie Armstrong and Nancy Eaton

Global dynamics of generalized second-order Beverton–Holt equations of linear and quadratic type, E. Bertrand and M. R.S. Kulenović

Bounds on the localization number, Anthony Bonato and William B. Kinnersley

Group actions, divisors, and plane curves, Araceli Bonifant and John Milnor

Hereditarily non uniformly perfect non-autonomous Julia sets, Mark Comerford, Rich Stankewitz, and Hiroki Sumi

Fully active cops and robbers, Ilya Gromovikov, William B. Kinnersley, and Ben Seamone

Global dynamics of monotone second order difference equation, S. Kalabušić, M. R.S. Kulenović, and M. Mehuljić

Global Dynamics of Delayed Sigmoid Beverton-Holt Equation, Toufik Khyat and M. R.S. Kulenović

Global Dynamics of Delayed Sigmoid Beverton–Holt Equation, Toufik Khyat and Mustafa Kulenovic

Global dynamics and bifurcations of two second order difference equations in mathematical biology, M. R.S. Kulenović and Sarah Van Beaver

#### Submissions from 2019

A Level-1 Limit Order Book with Time Dependent Arrival Rates, Jonathan A. Chávez-Casillas, Robert J. Elliott, Bruno Rémillard, and Anatoliy V. Swishchuk

Orbit portraits in non-autonomous iteration, Mark Comerford and Todd Woodard

Global dynamics of perturbation of certain rational difference equation, Sabina Hrustić, Mustafa R.S. Kulenović, Samra Moranjkić, and Zehra Nurkanović

Lower bounds for integral functionals generated by bipartite graphs, Barbara Kaskosz and Lubos Thoma

Birkhoff normal forms, KAM theory and continua of periodic points for certain planar system, M. R.S. Kulenović, E. Pilav, and N. Mujić

Global Dynamics of Leslie-Gower Competitive Systems in the Plane, Mustafa R. S. Kulenović and David T. McArdle

Global dynamics of a cooperative system with ceiling density dependence, Mustafa R.S. Kulenovic and Sarah Van Beaver

#### Submissions from 2018

Adjacency Relationships Forced by a Degree Sequence, Michael D. Barrus

Weakly threshold graphs, Michael D. Barrus

Neighborhood degree lists of graphs, Michael D. Barrus and Elizabeth A. Donovan

On 1-uniqueness and dense critical graphs for tree-depth, Michael D. Barrus and John Sinkovic

Global Dynamic Scenarios for Competitive Maps in the Plane, Elliott Bertrand and M. R. S. Kulenović

Global Dynamics of a Cooperative Discrete System in the Plane, Arzu Bilgin, Ann Brett, Mustafa R.S. Kulenović, and Esmir Pilav

Antipode preserving cubic maps: The Fjord theorem: The, Araceli Bonifant, Xavier Buff, and John Milnor

Global stability of a quadratic anti-competitive system of rational difference equations in the plane with Allee effects, V. Hadžiabdić, M. R.S. Kulenović, and E. Pilav

Local dynamics of planar maps with a non-isolated fixed point exhibiting 1–1 resonance, William T. Jamieson and Orlando Merino

Global Behavior of Certain Nonautonomous Linearizable Three Term Difference Equations, E. J. Janowski and Mustafa Kulenović

Bounds on the length of a game of Cops and Robbers, William B. Kinnersley

Invariant curves for planar competitive and cooperative maps, M. R.S. Kulenović and O. Merino

Global asymptotic stability and naimark-sacker bifurcation of certain mix monotone difference equation, M. R.S. Kulenović, S. Moranjkić, M. Nurkanović, and Z. Nurkanović

Global Asymptotic Stability and Naimark-Sacker Bifurcation of Certain Mix Monotone Difference Equation, Mustafa R. S. Kulenović, S. Moranjkić, M. Nurkanović, and Z. Nurkanović

#### Submissions from 2017

Colored Saturation Parameters for Rainbow Subgraphs, Michael D. Barrus, Michael Ferrara, Jennifer Vandenbussche, and Paul S. S. Wenger

Global dynamics of the general second order difference equation in the first quadrant, J. Bektešević, M. R.S. Kulenović, and E. Pilav

Global Asymptotic Stability for Discrete Single Species Population Models, A. Bilgin and M. R.S. Kulenović

Global Asymptotic Stability for Discrete Single Species Population Models, A. Bilgin and Mustafa Kulenovic

Global attractivity for nonautonomous difference equation via linearization, Arzu Bilgin and M. R.S. Kulenović

Bifurcation and global dynamics of a leslie-gower type competitive system of rational difference equations with quadratic terms, V. Hadžiabdić, M. R.S. Kulenović, and E. Pilav

An asynchronous direct solver for banded linear systems, Michael A. Jandron, Anthony A. Ruffa, and James Baglama

The Naimark-Sacker bifurcation and symptotic approximation of the invariant curve of a certain difference equation, T. Khyat, M. R.S. Kulenović, and E. Pilav

#### Submissions from 2016

IRLBA: Fast partial singular value decomposition method, James Baglama

Lazy Cops and Robbers played on random graphs and graphs on surfaces, Deepak Bal, Anthony Bonato, William B. Kinnersley, and Paweł Prałat

On realization graphs of degree sequences, Michael D. Barrus

Graphs with the strong Havel-Hakimi property, Michael D. Barrus and Grant Molnar

Asymptotic approximations of a stable and unstable manifolds of a two-dimensional quadratic map, J. Bektešević, M. R.S. Kulenović, and E. Pilav

Basins of Attraction of Period-Two Solutions of Monotone Difference Equations, Arzu Bilgin, Mustafa Kulenovic, and Esmir Pilav

The Game Saturation Number of a Graph, James M. Carraher, William B. Kinnersley, Benjamin Reiniger, and Douglas B. West

Birkhoff Normal Forms, KAM Theory and Time Reversal Symmetry for Certain Rational Map, Erin Denette, Mustafa Kulenovic, and Esmir Pilav

Domination Game: A proof of the 3/5-Conjecture for Graphs with Minimum Degree at Least Two, Michael A. Henning and William B. Kinnersley

Global Dynamics and Bifurcations of Certain Second Order Rational Difference Equation with Quadratic Terms, Sabina Jašarević Hrustić, M. R.S. Kulenović, and M. Nurkanović

Local Dynamics and Global Stability of Certain Second-Order Rational Difference Equation with Quadratic Terms, S. Jasarevic Hrustic, Mustafa Kulenovic, and M. Nurkanovic

Global Dynamics and Bifurcations of Two Quadratic Fractional Second Order Difference Equations, Senada Kalabušić, Mustafa Kulenovic, and M. Mehuljić

Game Brush Number, William B. Kinnersley and Pawel Pralat

To Catch a Falling Robber, William B. Kinnersley, Paweł Prałat, and Douglas B. West

Global dynamics and bifurcation of a perturbed Sigmoid Beverton–Holt difference equation, M. R.S. Kulenović, S. Moranjkić, and Z. Nurkanović

#### Submissions from 2015

Bifurcation in Deterministic Discrete Dynamical Systems: Advances in Theory and Applications, Raghib Abu-Saris, Fathi Allan, Sui Sun Cheng, and Mustafa Kulenovic

Lazy Cops and Robbers on Hypercubes, Deepak Bal, Anthony Bonato, William B. Kinnersley, and PaweŁ PraŁat

Minimal forbidden sets for degree sequence characterizations, Michael D. Barrus and Stephen G. Hartke

Uniqueness and Minimal Obstructions for Tree-Depth, Michael D. Barrus and John Sinkovic

Global Dynamics of Cubic Second Order Difference Equation in the First Quadrant, Jasmin Bektešević, Mustafa Kulenovic, and Esmir Pilav

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials, Tom Bella and Jenna Reis

Asymptotic Approximations of the Stable and Unstable Manifolds of Fixed Points of a Two-dimensional Cubic Map, Jasmin Betešević, Mustafa Kulenovic, and Esmir Pilav

Basins of attraction for two-species competitive model with quadratic terms and the singular Allee effect, A. Brett and M. R.S. Kulenović

Global Asymptotic Stability for Quadratic Fractional Difference Equation, Mark DiPippo, Ed J. Janowski, and Mustafa Kulenovic

Birkhoff Normal Forms, KAM Theory and Symmetries for Certain Second Order Rational Difference Equation with Quadratic Term, Sabina Jašarević-Hrustić, Zehra Nurkanović, Mustafa Kulenovic, and Esmir Pilav

Connectivity of some Algebraically Defined Digraphs, Aleksandr Kodess and Felix Lazebnik

Global dynamics of a certain two-dimensional competitive system of rational difference equations with quadratic terms, M. R.S. Kulenović and M. Pilling

#### Submissions from 2014

Implicitly restarting the LSQR algorithm, James Baglama and Daniel J. Richmond

Analysis of directed networks via partial singular value decomposition and Gauss quadrature, J. Baglama, C. Fenu, L. Reichel, and G. Rodriguez

Global dynamics of quadratic second order difference equation in the first quadrant, J. Bektešević, M. R.S. Kulenović, and E. Pilav

Toppling Numbers of Complete and Random Graphs, Anthony Bonato, William B. Kinnersley, and Paweł Prałat

Frontiers in complex dynamics: In celebration of John Milnor's 80th birthday, Araceli Bonifant, Misha Lyubich, and Scott Sutherland

Global Asymptotic Stability for Linear Fractional Difference Equation, Ann Brett, E. J. Janowski, and Mustafa Kulenovic

Basins of Attraction for Two Species Competitive Model with quadratic terms and the singular Allee Effect, Ann Brett and Mustafa RS Kulenović

Two species competitive model with the Allee effect, Ann Brett and Mustafa RS Kulenović

The Carathéodory topology for multiply connected domains II, Mark Comerford

Dynamics of a two-dimensional competitive system of rational difference equations with quadratic terms, Vahidin Hadžiabdić, Mustafa Kulenovic, and Esmir Pilav

Dynamics of phytoplankton-zooplankton systems with toxin producing phytoplankton, Sophia Jang, James Baglama, and Li Wu

Basins of attraction of equilibrium and boundary points of second-order difference equations, S. Jašarević and M. R.S. Kulenović

Global Period-Doubling Bifurcation of Quadratic Fractional Second Order Difference Equation, Senada Kalabušić, Mustafa RS Kulenović, and M. Mehuljić

Cops and Robbers is EXPTIME-Complete, William B. Kinnersley

Birkhoff Normal Forms and KAM Theory for Gumowski-Mira Equation, Mustafa Kulenovic, Zehra Nurkanović, and Esmir Pilav

Local dynamics and global attractivity of a certain second-order quadratic fractional difference equation, Mustafa RS Kulenovic, Esmir Pilav, and Enesa Silić

#### Submissions from 2013

Deterministic discrete dynamical systems: Advances in regular and chaotic behavior with applications, Raghib Abu-Saris, Fathi Allan, Mustafa Kulenovic, and Alfredo Peris

An implicitly restarted block Lanczos bidiagonalization method using Leja shifts, James Baglama and Lothar Reichel

An Augmented LSQR Method, James Baglama, L. Reichel, and D. Richmond

Non-Autonomous julia sets with measurable invariant sequences of line fields, Mark Comerford

The Carathéodory topology for multiply connected domains I, Mark Comerford

Preservation of external rays in non-autonomous iteration, Mark Comerford and Todd Woodard

Global Dynamics of Three Anticompetitive Systems of Difference Equations in the Plane, M. DiPippo and Mustafa Kulenovic

On the Erdos-Sós conjecture for graphs having no path with k + 4 vertices, Nancy Eaton and Gary Tiner

Global Dynamics of Certain Homogeneous Second-Order Quadratic Fractional Difference Equation, M. Garić-Demirović, Mustafa RS Kulenović, and N. Nurkanović

Existence of a period-two solution in linearizable difference equations, E. J. Janowski and M. R.S. Kulenović

Existence of a Period-Two Solution in Linearizable Difference Equations, E. J. Janowski and Mustafa RS Kulenović

Global dynamics of an anti-competitive system of rational difference equations in the plane, S. Kalabušić, M. R.S. Kulenović, and E. Pilav

Global dynamics of anti-competitive systems in the plane, S. Kalabusǐć, M. R.S. Kulenović, and E. Pilav

#### Submissions from 2012

Basins of attraction of equilibrium points of second order difference equations, M. Garić-Demirović, M. R.S. Kulenović, and M. Nurkanović