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Bibliographic Details
Main Author:	Luo, Ye
Format:	Preprint
Published:	2025
Subjects:	Combinatorics 05C50, 05C38
Online Access:	https://arxiv.org/abs/2502.02915
Tags:	Add Tag No Tags, Be the first to tag this record!

A classification of $Q$-polynomial distance-regular graphs with girth $6$
by: Miklavič, Štefko
Published: (2025)

On main eigenvalues of certain graphs
by: Abreu, Nair, et al.
Published: (2016)

The fundamental module of $S_3$-symmetric tridiagonal algebra associated with cycles
by: Morales, J. V. S.
Published: (2025)

An Aα-spectral radius for the existence of {P3, P4, P5}-factors in graphs
by: Zhang, Yuli, et al.
Published: (2025)

Aα-spectral radius and path-factor covered graphs
by: Zhou, Sizhong, et al.
Published: (2024)

Spectral radius and Hamiltonian properties of graphs, II
by: Ge, Jun, et al.
Published: (2016)

Parity conditions for one-way rail networks
by: Akita, Dai, et al.
Published: (2023)

On the $P$-vertex problem in Bipartite Graphs
by: Arunkumar, G., et al.
Published: (2025)

Construction of Linear Codes from the Unit Graph $G(\mathbb{Z}_{n})$
by: Jain, Rupali S., et al.
Published: (2023)

On Bivariegated Graphs and Line Graphs
by: Naik, Ranjan N.
Published: (2018)

A combinatorial bound on the number of distinct eigenvalues of a graph
by: Allred, Sarah, et al.
Published: (2022)

Spectral Antisymmetry of Twisted Graph Adjacency
by: Luo, Ye, et al.
Published: (2024)

Even cycles in graphs avoiding longer even cycles
by: Conlon, David, et al.
Published: (2025)

Sufficient spectral conditions for graphs being $k$-edge-Hamiltonian or $k$-Hamiltonian
by: Li, Yongtao, et al.
Published: (2021)

Generalized Eulerian Numbers and Directed Friends-and-seats Graphs
by: Dong, David
Published: (2024)

Rainbow even cycles
by: Dong, Zichao, et al.
Published: (2022)

A hypergraph analog of Dirac's Theorem for long cycles in 2-connected graphs
by: Kostochka, Alexandr, et al.
Published: (2022)

Number of edges with shortest cycle k in a Kautz graph
by: Faber, Vance
Published: (2025)

On the girth and connectivity of cubic graphs with a unique longest cycle
by: Jooken, Jorik, et al.
Published: (2024)

Transversal Hamilton cycles in digraph collections
by: Cheng, Yangyang, et al.
Published: (2025)

Rainbow cycles through specified vertices
by: Liu, Henry
Published: (2024)

Small hitting sets for longest paths and cycles
by: Norin, Sergey, et al.
Published: (2025)

Chords of longest cycles passing through a specified small set
by: Wu, Haidong, et al.
Published: (2025)

On saturation numbers of complete multipartite graphs and even cycles
by: Mohammadian, Ali, et al.
Published: (2025)

Size conditions for admissible or consecutive even cycles in graphs
by: Lin, Jifu
Published: (2026)

A note on the number of non-cycle components in a pseudo 2-factor of graphs
by: Kashima, Masaki
Published: (2025)

Chords of longest cycles in graphs with large circumferences
by: Wu, Haidong, et al.
Published: (2025)

Degree sum conditions and a 2-factor with a bounded number of cycles in claw-free graphs
by: Kashima, Masaki
Published: (2025)

Rainbow planar Tur{á}n numbers of cycles
by: Liu, Xiaonan
Published: (2025)

Hamiltonian cycles passing through matchings in $k$-ary $n$-cubes
by: Liao, Baolai, et al.
Published: (2024)

On the rna number of powers of cycles
by: Sehrawat, Deepak, et al.
Published: (2023)

Minimum degree edge-disjoint Hamilton cycles in random directed graphs
by: Ferber, Asaf, et al.
Published: (2025)

Arbitrary orientations of cycles in oriented graphs
by: Wang, Guanghui, et al.
Published: (2025)

The limit theorem with respect to the matrices on non-backtracking paths of a graph
by: Hasegawa, Takehiro, et al.
Published: (2020)

Counting $k$-cycles in $5$-connected planar triangulations
by: Agrahari, Gyaneshwar, et al.
Published: (2025)

Spectrum of $3$-uniform $6$- and $9$-cycle systems over $K_v^{(3)}-I$
by: Keszler, Anita, et al.
Published: (2022)

Ore-type condition for antidirected Hamilton cycles in oriented graphs
by: Cai, Junqing, et al.
Published: (2025)

Openly disjoint cycles and directed tree-width of regular digraphs
by: Steiner, Raphael
Published: (2026)

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @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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