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Bibliographic Details
Main Author:	Wolf, Isaak H.
Format:	Preprint
Published:	2023
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2312.11095
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On the existence of factors intersecting sets of cycles in regular graphs
by: Goedgebeur, Jan, et al.
Published: (2024)

A counterexample to the $S_{10}$- and the $S_{12}$-Conjecture
by: Wolf, Isaak H.
Published: (2025)

Spectral radius, toughness and $k$-factor of graphs
by: Chen, Yuanyuan, et al.
Published: (2026)

Some conjectures on $r$-graphs and equivalences
by: Ma, Yulai, et al.
Published: (2024)

2-factors in $\frac{3}{2}$-tough maximal planar graphs
by: Hao, Lili, et al.
Published: (2025)

Edge-connectivity and pairwise disjoint perfect matchings in regular graphs
by: Ma, Yulai, et al.
Published: (2022)

Cubic graphs with edges in exactly one perfect matching
by: Goedgebeur, Jan, et al.
Published: (2024)

Constructions of minimally $t$-tough regular graphs
by: Cheng, Kun, et al.
Published: (2024)

Chvátal-Erdős condition for 2-factors with at most two components in graphs
by: Tian, Tao, et al.
Published: (2026)

Minimally tough series-parallel graphs with toughness at least $1/2$
by: Katona, Gyula Y., et al.
Published: (2025)

Degree sequence condition for Hamiltonicity in tough graphs
by: Shan, Songling, et al.
Published: (2024)

A construction of a $\frac{3}{2}$-tough plane triangulation with no 2-factor
by: Shan, Songling
Published: (2022)

Some sufficient conditions for graphs to have component factors
by: Zhou, Sizhong
Published: (2024)

Sufficient conditions for spanning $k$-trees in tough graphs
by: Jia, Caili, et al.
Published: (2026)

Sufficient conditions for $t$-tough graphs to be Hamiltonian and pancyclic or bipartite
by: Liu, Xiangge, et al.
Published: (2025)

Minimal toughness in special graph classes
by: Katona, Gyula Y., et al.
Published: (2018)

Hamiltonian cycles in tough $(P_4 \cup P_1)$-free graphs
by: Shan, Songling
Published: (2025)

Eigenvalues, edge-disjoint perfect matchings and toughness of regular graphs
by: Zhang, Wenqian
Published: (2024)

A spectral condition for Hamilton cycles in tough bipartite graphs
by: Ai, Lianyang, et al.
Published: (2025)

On the existence of minimally tough graphs having large minimum degrees
by: Hasanvand, Morteza
Published: (2025)

Partitioning the hypercube into smaller hypercubes
by: Alon, Noga, et al.
Published: (2023)

On high discrepancy $1$-factorizations of complete graphs
by: Ai, Jiangdong, et al.
Published: (2025)

Simple factor graphs associated with split graphs
by: Pastine, Adrian, et al.
Published: (2025)

Hamilton cycles in tough $(2P_2 \cup P_1)$-free graphs
by: Shan, Songling, et al.
Published: (2025)

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

On $2$-factors of Hamiltonian graphs
by: Díaz, Alberto Espuny, et al.
Published: (2026)

On minimally tough chordal graphs
by: Dallard, Clément, et al.
Published: (2022)

A strengthening of a degree sequence condition for Hamiltonicity in tough graphs
by: Shan, Songling, et al.
Published: (2025)

Hamiltonian cycles in $ 15 $-tough ($ P_{3}\cup 3P_{1} $)-free graphs
by: Ma, Hui, et al.
Published: (2025)

Induced paths and cycles in factor graphs of split graphs
by: Schvöllner, Victor N., et al.
Published: (2026)

Spectral conditions for factor-criticality of graphs
by: Cai, Jin, et al.
Published: (2024)

Scattering number and $τ$-toughness in graphs involving $A_α$-spectral radius
by: Jia, Caili, et al.
Published: (2025)

Distance signless Laplacian spectral radius and tough graphs involving minimun degree
by: Liu, Xiangge, et al.
Published: (2025)

A lower bound of toughness of regular graphs: in terms of second largest eigenvalue
by: Zhang, Wenqian
Published: (2026)

Generalized toughness and Q-index in a graph
by: Zhou, Sizhong
Published: (2025)

Isomorphism factorizations of the complete graph into Cayley graphs on CI-groups
by: Chen, Huye, et al.
Published: (2026)

Sufficient conditions for the variation of toughness under the distance spectral in graphs involving minimum degree
by: Li, Peishan
Published: (2025)

Spectral radius and rainbow $k$-factors of graphs
by: Zhang, Liwen, et al.
Published: (2025)

On minimal k-factor-critical planar graphs
by: Li, Qiuli, et al.
Published: (2025)

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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; }

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