Curvature Testing in 3-Dimensional Metric Polyhedral Complexes. - Murray Elder; Jon McCammond (Exp. Math., 2002)

Patterns Theory and Geodesic Automatic Structure for a Class of Groups. - Murray J. Elder (Int. J. Algebra Comput., 2003)

A context-free and a 1-counter geodesic language for a Baumslag-Solitar group. - Murray J. Elder (Theor. Comput. Sci., 2005)

On the Stanley-Wilf limit of 4231-avoiding permutations and a conjecture of Arratia. - Michael H. Albert; Murray Elder; Andrew Rechnitzer; P. Westcott; Mike Zabrocki (Adv. Appl. Math., 2006)

Permutations Generated by a Stack of Depth 2 and an Infinite Stack in Series. - Murray Elder (Electron. J. Comb., 2006)

On Groups and Counter Automata. - Murray Elder; Mark Kambites; Gretchen Ostheimer (Int. J. Algebra Comput., 2008)

Some geodesic problems in groups. - Murray Elder; Andrew Rechnitzer (Groups Complex. Cryptol., 2010)

On groups that have normal forms computable in logspace - Murray Elder; Gillian Z. Elston; Gretchen Ostheimer (CoRR, 2012)

On the cogrowth of Thompson's group F. - Murray Elder; Andrew Rechnitzer; Thomas Wong (Groups Complex. Cryptol., 2012)

On Groups whose Geodesic Growth is Polynomial. - Martin R. Bridson; José Burillo; Murray Elder; Zoran Sunic (Int. J. Algebra Comput., 2012)

Logspace computations for Garside groups of spindle type. - Murray Elder; Arkadius G. Kalka (CoRR, 2013)

$ mathcal C$-graph automatic groups. - Murray Elder; Jennifer Taback (CoRR, 2013)

Permutations of context-free and indexed languages. - Tara Brough; Laura Ciobanu; Murray Elder (CoRR, 2014)

The cogrowth series for BS(N, N) is D-finite. - Murray Elder; Andrew Rechnitzer; Esaias J. Janse van Rensburg; Thomas Wong (Int. J. Algebra Comput., 2014)

Permutations Generated by a Depth 2 Stack and an Infinite Stack in Series are Algebraic. - Murray Elder; Geoffrey Lee; Andrew Rechnitzer (Electron. J. Comb., 2015)

Random Sampling of Trivial Words in Finitely Presented Groups. - Murray Elder; Andrew Rechnitzer; Esaias J. Janse van Rensburg (Exp. Math., 2015)

Metric properties of Baumslag-Solitar groups. - José Burillo; Murray Elder (Int. J. Algebra Comput., 2015)

Permutations of context-free, ET0L and indexed languages. - Tara Brough; Laura Ciobanu; Murray Elder; Georg Zetzsche (Discret. Math. Theor. Comput. Sci., 2016)

Thompson's group F is 1-counter graph automatic. - Murray Elder; Jennifer Taback (Groups Complex. Cryptol., 2016)

Solution sets for equations over free groups are EDT0L languages. - Laura Ciobanu; Volker Diekert; Murray Elder (Int. J. Algebra Comput., 2016)

2-manifold recognition is in logspace. - Benjamin A. Burton; Murray Elder; Arkadius G. Kalka; Stephan Tillmann (J. Comput. Geom., 2016)

Solutions of Twisted Word Equations, EDT0L Languages, and Context-Free Groups. - Volker Diekert; Murray Elder (ICALP, 2017)

Permutations Sorted by a Finite and an Infinite Stack in Series. - Murray Elder; Yoong Kuan Goh (LATA, 2018)

Applications of L systems to group theory. - Laura Ciobanu; Murray Elder; Michal Ferov (Int. J. Algebra Comput., 2018)

Solutions Sets to Systems of Equations in Hyperbolic Groups Are EDT0L in PSPACE. - Laura Ciobanu; Murray Elder (ICALP, 2019)

Bounded Automata Groups are co-ET0L. - Alex Bishop; Murray Elder (LATA, 2019)

Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically. - Murray Elder; Cameron Rogers (Exp. Math., 2019)

The complexity of solution sets to equations in hyperbolic groups. - Laura Ciobanu; Murray Elder (CoRR, 2020)

Solutions to twisted word equations and equations in virtually free groups. - Volker Diekert; Murray Elder (Int. J. Algebra Comput., 2020)

$k$-Pop Stack Sortable Permutations and $2$-Avoidance. - Murray Elder; Yoong Kuan Goh (Electron. J. Comb., 2021)

Detecting plainness in PSPACE. - Murray Elder; Adam Piggott (CoRR, 2021)

The isomorphism problem for plain groups is in Σ3P. - Heiko Dietrich; Murray Elder; Adam Piggott; Youming Qiao; Armin Weiß (CoRR, 2021)

The Isomorphism Problem for Plain Groups Is in Σ₃𝖯. - Heiko Dietrich; Murray Elder; Adam Piggott; Youming Qiao; Armin Weiß (STACS, 2022)

Cayley polynomial-time computable groups. - Dmitry Berdinsky; Murray Elder; Prohrak Kruengthomya (Inf. Comput., 2022)

On the geometry of Cayley automatic groups. - Dmitry Berdinsky; Murray Elder; Jennifer Taback (Int. J. Algebra Comput., 2022)

Rewriting systems, plain groups, and geodetic graphs. - Murray Elder; Adam Piggott (Theor. Comput. Sci., 2022)

On k-geodetic graphs and groups. - Murray Elder; Adam Piggott; Kane Townsend (Int. J. Algebra Comput., 2023)

Finite groups with geodetic Cayley graphs. - Murray Elder; Adam Piggott; Florian Stober; Alexander Thumm; Armin Weiß (CoRR, 2024)

On the complexity of epimorphism testing with virtually abelian targets. - Murray Elder; Jerry Shen; Armin Weiß (CoRR, 2025)

On groups with EDT0L word problem. - Alex Bishop; Murray Elder; Alex Evetts; Paul Gallot; Alex Levine (CoRR, 2025)