:: Library Catalog

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Bibliographische Detailangaben
Hauptverfasser:	Gould, Stephen, Kelly, Tom
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	Combinatorics
Online-Zugang:	https://arxiv.org/abs/2511.11375
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

Solution to a problem of Erdős on the chromatic index of hypergraphs with bounded codegree
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Perfect matchings in random sparsifications of Dirac hypergraphs
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About Berge-Füredi's conjecture on the chromatic index of hypergraphs
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Sharp bounds for rainbow matchings in hypergraphs
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The Berge-Füredi conjecture on the chromatic index of hypergraphs with large hyperedges
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An improvement on the bound for the acyclic chromatic index
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On hypergraph Turán problems with bounded matching number
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Strong list-chromatic index of subcubic graphs is at most 10
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Three-chromatic geometric hypergraphs
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A New Proof of the Nešetřil-Rödl Theorem
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A note on improved bounds for hypergraph rainbow matching problems
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The chromatic number of triangle-free hypergraphs
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Comparing list-color functions of uniform hypergraphs with their chromatic polynomials (III)
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Equivalence between Erdős-Hajnal and polynomial Rödl and Nikiforov conjectures
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On degree bounds of $k$-uniform hypergraphs with bounded matching number
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Upper bounds for the list-distinguishing chromatic number
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Random matchings in linear hypergraphs
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Discrepancies of perfect matchings in hypergraphs
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DP color functions versus chromatic polynomials for hypergraphs (I)
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New bounds of two hypergraph Ramsey problems
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Counting sunflowers in hypergraphs with bounded matching number and Erdős Matching Conjecture in the $(t,k)$-norm
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Solution to a problem of Erdős on the chromatic index of hypergraphs with bounded codegree
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Colour-bias perfect matchings in hypergraphs
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Perturbation of the largest matching root of hypergraphs
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On the mod $k$ chromatic index of graphs
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On asymptotically tight bound for the conflict-free chromatic index of nearly regular graphs
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On the largest chromatic number of $F$-free hypergraphs
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New lower bounds on the non-repetitive chromatic number of some graphs
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Positive codegree thresholds for perfect matchings in hypergraphs
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Conflict-free chromatic index of bipartite graphs
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The strong chromatic index of 1-planar graphs
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Optimal spread for spanning subgraphs of Dirac hypergraphs
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Conflict-free chromatic index of trees
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On asymptotically tight bounds for the open conflict-free chromatic indexes of nearly regular graphs
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Improving the Caro-Wei bound and applications to Turán stability
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Ramsey lower bounds for bounded degree hypergraphs
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A polynomial time algorithm to find star chromatic index on bounded treewidth graphs with given maximum degree
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Stability results for Berge-matching in hypergraphs
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Forbidding matching as trace in uniform hypergraphs
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if (filemtime($filename) + $maxlifetime < time()) { unlink($filename); $count++; } } return $count; } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ protected function saveSession($sessId, $data): bool { $sessFile = $this->path . '/sess_' . $sessId; if ($handle = fopen($sessFile, 'w')) { $return = false; // Lock the file for exclusive access to avoid issues with multiple // processes writing session simultaneously: if (flock($handle, LOCK_EX)) { $return = fwrite($handle, $data); // Make sure that there's no trailing data by truncating the file to // the correct length: ftruncate($handle, strlen($data)); fflush($handle); flock($handle, LOCK_UN); } fclose($handle); if ($return !== false) { return true; } } // If we got this far, something went wrong with the file output... // It is tempting to throw an exception here, but this code is called // outside of the context of exception handling, so all we can do is // echo a message.

// 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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