# Publications

## Structural graph theory:

Graphs of bounded chordality, with A. Chaniotis and S. Spirkl.

On Separating Path and Tree Systems in Graphs, with A. Biniaz, P. Bose, J. Carufel, A. Maheshwari, S. Odak, M. Smid, S. Smorodinsky, Y. Yuditsky.

Canonical trees of tree-decompositions, with J. Carmesin, M. Hamann, Journal of Combinatorial Theory, Series B 152, 1-26.

A Stallings' type theorem for quasi-transitive graphs with M. Hamann, F. Lehner, T. Rühmann, Journal of Combinatorial Theory, Series B, 157, 40-69.

Two-ended quasi-transitive graphs with T. Rühmann, appears on Discrete mathematics, Algorithms and Applications.

## Hamiltonicity

On vertex-transitive graphs with a unique hamiltonian cycle, with D. Witte Morris, arXiv:2303.11124.

Hamiltonicity in generalized quasi-dihedral groups, with K. Stavropoulos, arXiv:2204.05484.

Arc-disjoint hamiltonian paths in Cartesian product of directed cycles, with I. Darijani and D. Witte Morris, arXiv preprint 2203.11017v1.

Hamilton circles in Cayley graphs with T. Rühmann, The Electronic Journal of Combinatorics 25 (2).

From cycles to circles in Cayley graphs with T. Rühmann, arXiv preprint arXiv:1708.03476.

## Planar and non-planar graphs

Independence number of 1-planar graphs with T. Biedl and P. Bose, SWAT 2024.

One sided independence number of 1-planar graphs with T. Biedl and P. Bose, arxiv.

## Algorithm and Complexity

## Infinite graph theory

Algebraic flow theory of infinite graphs with M.J. Moghadamzadeh, European Journal of Combinatorics 62, 58-69

Inverse Limits and Topologies of Infinite Graphs arXiv preprint arXiv:1612.05803.

Canonical trees of tree-decompositions, with J. Carmesin, M. Hamann, Journal of Combinatorial Theory, Series B 152, 1-26.

A Stallings' type theorem for quasi-transitive graphs with M. Hamann, F. Lehner, T. Rühmann, Journal of Combinatorial Theory, Series B, 157, 40-69.

Two-ended quasi-transitive graphs with T. Rühmann, appears on Discrete mathematics, Algorithms and Applications.

## Combinatorial matrix theory

On Matrix Product Factorization of graphs I with F. Maghsoudi and S. Suda.

On Matrix Product Factorization of graphs II with S. Akbari, Y. Fan, and Y. Wang

Digraphs with few eigenvalues with M. Cavers

## Combinatorial group theory

Subgroups arising from connected components in the Morse boundary with A. Karrer and S. Zbinden.

Splitting groups with cubic Cayley graphs of connectivity two with K. Stavropoulos, Algebraic Combinatorics, 4, no. 6.

A Stallings' type theorem for quasi-transitive graphs with M. Hamann, F. Lehner, T. Rühmann, Journal of Combinatorial Theory, Series B, 157, 40-69.

Two-ended quasi-transitive graphs with T. Rühmann, Discrete mathematics, Algorithms and Applications.

.Two characterisations of accessible quasi-transitive graphs with M. Hamann, arXiv preprint arXiv:2003.14203.

## Graphs and Groups

Co-maximal graphs of two generators groups with R. Nikandish, Journal of Algebra and Its Applications.

Co-maximal Graphs of Subgroups of Groups with S. Akbari and R. Nikandish, Canadian Mathematical Bulletin 60 (1), 12-25

Integral of groups with K. Filom, Communications in Algebra 45 (3), 1105-1113.

Co-maximal ideal graphs of matrix algebras with R. Nikandish, Boletín de la Sociedad Matemática Mexicana 24 (1), 1-10

A note on infinite aS-groups with R. Nikandish Czechoslovak Mathematical Journal 65 (4), 1003-1009.

A note on co-maximal ideal graph of commutative rings with S. Akbari and R. Nikandish Ars Combinatoria, 134, 261–265.

Mathematics is the queen of the sciences and number theory is the queen of mathematics.

-Carl Friedrich Gauss