A Bijection between Necklaces and Restricted Multisets

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autores principales:	Li, Jiyou, Zhou, Yanghongbo
Formato:	Preprint
Publicado:	2025
Materias:	Combinatorics
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Necklace Games
por: Kadam, Balaji R., et al.
Publicado: (2026)

Colored Multiset Eulerian Polynomials
por: Deligeorgaki, Danai, et al.
Publicado: (2024)

Analytic Properties of Necklace Polynomials
por: Chebolu, Sunil K., et al.
Publicado: (2026)

Bijections around Springer numbers
por: Chen, Shaoshi, et al.
Publicado: (2024)

Efficient Weighted Counting of Multiset Derangements
por: Ekhad, Shalosh B., et al.
Publicado: (2025)

On the biases and asymptotics of partitions with finite choices of parts
por: Li, Jiyou, et al.
Publicado: (2024)

On Universal Cycles for Multisets
por: Hurlbert, Glenn, et al.
Publicado: (2007)

Necklaces, permutations, and periodic critical orbits for quadratic polynomials
por: Baker, Matthew, et al.
Publicado: (2025)

Enumerations and Bijections for Stanley Polyominoes
por: Baril, Jean-Luc, et al.
Publicado: (2026)

Bijections in weakly increasing trees via binary trees
por: Li, Yang, et al.
Publicado: (2025)

Bijections for faces of braid-type arrangements
por: Bernardi, Olivier
Publicado: (2025)

Extension-lifting Bijections for Oriented Matroids
por: Backman, Spencer, et al.
Publicado: (2019)

Bijective and Automated Approaches to Abel Sums
por: Kalai, Gil, et al.
Publicado: (2024)

Mahonian Statistics and Vincular Patterns on Permutations over Multisets
por: Ta, Lien T. P., et al.
Publicado: (2024)

Bijections between different combinatorial models for $q$-Whittaker and modified Hall-Littlewood polynomials
por: Ratheesh, T V
Publicado: (2024)

Bijections between colored compositions, Dyck paths, and polygon partitions
por: Gil, Juan B., et al.
Publicado: (2024)

Sharp Inner Product Correlations for Hypercube Bijections
por: Narang, Ijay, et al.
Publicado: (2025)

Bijectivity of a generalized Pak-Stanley labeling
por: Bernardi, Olivier, et al.
Publicado: (2026)

Local (Outer) Multiset Dimensions of Graphs
por: Simanjuntak, Rinovia, et al.
Publicado: (2025)

Bijections between Variants of Dyck Paths and Integer Compositions
por: Dastidar, Manosij Ghosh, et al.
Publicado: (2024)

Multiset Metric Dimension of Binomial Random Graphs
por: Eide, Austin, et al.
Publicado: (2025)

Necklaces, subset sums, and cyclic permutations
por: Dougherty-Bliss, Robert, et al.
Publicado: (2026)

On Certain Bounds for Multiset Dimensions of Zero-Divisor Graphs Associated with Rings
por: Ali, Nasir, et al.
Publicado: (2024)

Bijective proof of a conjecture on unit interval posets
por: Fang, Wenjie
Publicado: (2022)

Bijective Enumeration and Sign-Imbalance for Permutation Depth and Excedances
por: Eu, Sen-Peng, et al.
Publicado: (2024)

Bijection between positive clusters and projectively signed exceptional sequences
por: Chen, Shujian, et al.
Publicado: (2023)

Exploring Ring Structures: Multiset Dimension Analysis in Compressed Zero-Divisor Graphs
por: Ali, Nasir, et al.
Publicado: (2024)

A Bijection between Stacked Directed Polyominoes and Motzkin Paths with Alternative Catastrophes
por: Schager, Florian, et al.
Publicado: (2024)

Cyclic Sieving of Multisets with Bounded Multiplicity and the Frobenius Coin Problem
por: Armstrong, Drew
Publicado: (2025)

Bijections between planar maps and planar linear normal $λ$-terms with connectivity condition
por: Fang, Wenjie
Publicado: (2022)

Partial Alternating Sign Matrix Bijections and Dynamics
por: Heuer, Dylan
Publicado: (2024)

Log-Concavity of the Grothendieck Classes of Banana Graphs and Clasped Necklaces
por: Chen, Stephanie
Publicado: (2025)

Bijections for generalized Wilf equivalences
por: Ferreri, Melanie
Publicado: (2024)

Bijections for rhombic alternative tableaux
por: Corteel, Sylvie, et al.
Publicado: (2026)

Two Bijections on NBC Subsets
por: Fu, Houshan, et al.
Publicado: (2024)

The Geometry of Rectangular Multisets
por: Dougherty, Michael, et al.
Publicado: (2026)

Bijection between trees in Stanley character formula and factorizations of a cycle
por: Trokowska, Karolina, et al.
Publicado: (2022)

Necklaces over a group with identity product
por: Grinberg, Darij, et al.
Publicado: (2024)

Construction Techniques for Linear Realizations of Multisets with Small Support
por: Ağırseven, Onur, et al.
Publicado: (2025)

Tilings of Benzels via the Abacus Bijection
por: Defant, Colin, et al.
Publicado: (2022)

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'

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
ui	"standard"
VUFIND_SESSION	"fad4cc94b027591f771cc24621695148"
language	"es"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790979349.5177 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "fad4cc94b027591f771cc24621695148" ]`]
SessionState	Laminas\Stdlib\ArrayObject {#938}
FlashMessenger	Laminas\Stdlib\ArrayObject {#1433}
SessionHelper	Laminas\Stdlib\ArrayObject {#1759}

Server/Request Data

Key	Value
REDIRECT_VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
REDIRECT_HTTPS	"on"
REDIRECT_SSL_TLS_SNI	"info.umar.mx"
REDIRECT_STATUS	"200"
VUFIND_LOCAL_DIR	"/usr/local/vufind/local"
HTTPS	"on"
SSL_TLS_SNI	"info.umar.mx"
HTTP_ACCEPT	"/"
HTTP_USER_AGENT	"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)"
HTTP_COOKIE	"ui=standard; VUFIND_SESSION=fad4cc94b027591f771cc24621695148; language=es"
HTTP_ACCEPT_ENCODING	"gzip, br, zstd, deflate"
HTTP_HOST	"info.umar.mx"
PATH	"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/snap/bin"
SERVER_SIGNATURE	"<address>Apache/2.4.66 (Ubuntu) Server at info.umar.mx Port 443</address>\n"
SERVER_SOFTWARE	"Apache/2.4.66 (Ubuntu)"
SERVER_NAME	"info.umar.mx"
SERVER_ADDR	"200.23.222.19"
SERVER_PORT	"443"
REMOTE_ADDR	"216.73.217.142"
DOCUMENT_ROOT	"/usr/local/vufind/public"
REQUEST_SCHEME	"https"
CONTEXT_PREFIX	""
CONTEXT_DOCUMENT_ROOT	"/usr/local/vufind/public"
SERVER_ADMIN	"admin@localhost"
SCRIPT_FILENAME	"/usr/local/vufind/public/index.php"
REMOTE_PORT	"13872"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2507_19940/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2507_19940/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790979349.5129
REQUEST_TIME	1790979349

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler