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Main Authors:	Reyes, M. A., Dalfó, C., Fiol, M. A., Messegué, A.
Format:	Preprint
Published:	2024
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2403.20148
Tags:	Add Tag No Tags, Be the first to tag this record!

On token signed graphs
by: Dalfó, C., et al.
Published: (2024)

A note on an infinite family of graphs with all different integral Laplacian eigenvalues
by: Dalfó, C., et al.
Published: (2024)

Structural and Spectral Properties of Chordal Ring, Multi-ring and Mixed Graphs
by: Reyes, M. A., et al.
Published: (2024)

On bipartite $(1,1,k)$-mixed graphs
by: Dalfó, C., et al.
Published: (2024)

On supertoken graphs
by: Reyes, Mónica A., et al.
Published: (2026)

On factored lifts of graphs and their spectra
by: Dalfó, C., et al.
Published: (2024)

On the Algebraic Connectivity of Token Graphs and Graphs under Perturbations
by: Song, X., et al.
Published: (2024)

Token graphs of Cayley graphs as lifts
by: Dalfó, C., et al.
Published: (2024)

Combined voltage assignments, factored lifts, and their spectra
by: Dalfó, C., et al.
Published: (2024)

On some metric properties of supertoken graphs
by: Baskoro, E. T., et al.
Published: (2024)

Some inner metric parameters of a digraph: Iterated line digraphs and integer sequences
by: Bong, N. H., et al.
Published: (2024)

On bipartite biregular large graphs
by: Araujo-Pardo, G., et al.
Published: (2024)

Note on the product of the largest and the smallest eigenvalue of a graph
by: Abiad, Aida, et al.
Published: (2024)

The Shannon capacity of graph powers
by: Abiad, Aida, et al.
Published: (2025)

A study on token digraphs
by: Fernandes, Cristina G., et al.
Published: (2024)

Edge-transitive token graphs as covers
by: Gómez-Galicia, Sergio G., et al.
Published: (2025)

On Generalized Token Graphs
by: Song, Xiaodi, et al.
Published: (2026)

On the nonexistence of almost Moore digraphs with self-repeats
by: Messegué, Arnau, et al.
Published: (2024)

Independence numbers of the 2-token graphs of some join graphs
by: Rivera, Luis Manuel, et al.
Published: (2025)

An asymptotically tight upper bound for the domination number of the $2$-token graph of path graphs
by: Troncoso, E. Acosta, et al.
Published: (2026)

Spectra and eigenspaces of non-normal Cayley graphs
by: Chen, Yang, et al.
Published: (2025)

There are no excess one digraphs
by: Filipovski, Slobodan, et al.
Published: (2025)

Some Families of Greedy Numerical Semigroups
by: Messegué-Buisan, Arnau, et al.
Published: (2026)

A combinatorial proof of a relationship between maximal $(2k-1,2k+1)$ and $(2k-1,2k,2k+1)$-cores
by: Nath, Rishi, et al.
Published: (2015)

Uniqueness of the second eigenspace of the interchange process
by: Belotserkovskiy, Dennis, et al.
Published: (2025)

Dean's conjecture and cycles modulo k
by: Luo, Yufan, et al.
Published: (2026)

Almost partitioning every $2$-edge-coloured complete $k$-graph into $k$ monochromatic tight cycles
by: Lo, Allan, et al.
Published: (2023)

Single-token vs Two-token Blockchain Tokenomics
by: Kiayias, Aggelos, et al.
Published: (2024)

On girth and the parameterized complexity of token sliding and token jumping
by: Bartier, Valentin, et al.
Published: (2020)

New matrix perturbation bounds with relative norm: Perturbation of eigenspaces
by: Tran, Phuc, et al.
Published: (2024)

Hexagonal and k-hexagonal graph's normalized Laplacian spectrum and applications
by: Li, Hao, et al.
Published: (2025)

A complete solution to the directed Oberwolfach problem of order $2 \pmod{4}$ with cycles of even lengths
by: Burgess, A. C., et al.
Published: (2026)

Chi-boundedness of graphs containing no cycles with $k$ chords
by: Lee, Joonkyung, et al.
Published: (2022)

Universal cycle constructions for k-subsets and k-multisets
by: Campbell, Colin, et al.
Published: (2026)

The $k$-cycle shuffling with repeated cards
by: Shen, Jiahe
Published: (2026)

Directed cycles with zero weight in $\mathbb{Z}_p^k$
by: Letzter, Shoham, et al.
Published: (2023)

Longest odd cycles in non-bipartite $C_{2k+1}$-free graphs
by: Wang, Rui, et al.
Published: (2025)

Not all tokens are needed(NAT): token efficient reinforcement learning
by: Sang, Hejian, et al.
Published: (2026)

Spectral extremal problems for $(a,b,k)$-critical and fractional $(a,b,k)$-critical graphs
by: Xu, Zengzhao, et al.
Published: (2025)

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* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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