The Order of the (123, 132)-Avoiding Stack Sort

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Zhang, Owen
Format:	Preprint
Published:	2024
Subjects:	Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Computational Approach to the $SC_{231}$ Consecutive-Pattern-Avoiding Stack Sort
by: Yi, Kai
Published: (2026)

Fertility Numbers of Consecutive $S_3$ Pattern-Avoiding Stack-Sorting maps
by: Kemeklis, Jurgis
Published: (2024)

On (joint) equidistributions of mesh patterns 123 and 132 with symmetric shadings
by: Kitaev, Sergey, et al.
Published: (2024)

On 132-Avoiding Permutations with an Adjacency Constraint
by: Nadler, Nathaniel
Published: (2026)

Joint equidistributions of mesh patterns 123 and 132 with minus antipodal shadings
by: Lv, Shuzhen, et al.
Published: (2025)

Stack-sorting with Stacks Avoiding Vincular Patterns
by: Zhao, William
Published: (2024)

Polynomials Arising from Sorted Binomial Coefficients
by: Levens, Owen John
Published: (2025)

Promotion, Tangled Labelings, and Sorting Generating Functions
by: Bayer, Margaret, et al.
Published: (2024)

Enumerating Pattern Avoiding Parking Functions
by: Adenbaum, Ben
Published: (2026)

Permutations that strongly avoid 132
by: Archer, Kassie, et al.
Published: (2026)

Permutations Almost Avoiding Monotone Distant Patterns
by: Van Nimwegen, Nicholas
Published: (2025)

Avoiding configurations of small size in the square grid
by: Jánosik, Máté, et al.
Published: (2026)

Avoiding secants of given size in finite projective planes
by: Héger, Tamás, et al.
Published: (2024)

Words Avoiding Tangrams
by: Dębski, Michał, et al.
Published: (2024)

Sorting permutations with pile shuffle on queue-like and stack-like piles
by: Treleaven, Kyle B.
Published: (2025)

Coloring Grids Avoiding Bicolored Paths
by: Keskinkilic, Derman, et al.
Published: (2023)

Exhaustive Generation of Pattern-Avoiding s-Words
by: Buick, Samuel, et al.
Published: (2025)

Pattern Avoiding Permutations as Walks
by: Franklín, Atli Fannar
Published: (2025)

Avoiding intersections of given size in finite affine spaces AG(n,2)
by: Kovács, Benedek, et al.
Published: (2023)

Pattern Avoiding Permutations Enumerated by Inversions
by: Franklín, Atli Fannar
Published: (2024)

Avoiding Monotone Arithmetic Progressions in Permutations of Integers
by: Adenwalla, Sarosh
Published: (2022)

Negative Avoiding Sequences
by: Mitchell, Chris J, et al.
Published: (2026)

Transforming Stacks into Queues: Mixed and Separated Layouts of Graphs
by: Katheder, Julia, et al.
Published: (2024)

Inverting the General Order Sweep Map
by: Wang, Ying, et al.
Published: (2023)

Optimal Constant-Weight and Mixed-Weight Conflict-Avoiding Codes
by: Lo, Yuan-Hsun, et al.
Published: (2024)

On orientations with forbidden out-degrees
by: Henderschedt, Owen, et al.
Published: (2024)

Extending total colorings in planar graphs
by: Henderschedt, Owen, et al.
Published: (2025)

Polynomial Time Enumeration of t-Stack-Sortable Permutations Ending in Their Least Entry
by: Zhang, Jerry
Published: (2026)

Foot-Sorting for Socks
by: Defant, Colin, et al.
Published: (2022)

Integrability of Combinatorial Riemann Boundary Value Problem and Lattice Walks Avoiding a Quadrant
by: Xu, Ruijie
Published: (2025)

A Complete Enumeration of Ballot Permutations Avoiding Sets of Small Patterns
by: Sun, Nathan
Published: (2022)

Ehrhart Polynomials of Order Polytopes: Interpreting Combinatorial Sequences on the OEIS
by: Liu, Feihu, et al.
Published: (2024)

A finite victory over de Bruijn-Erdős in interval discrepancy
by: DeLeo, Jared, et al.
Published: (2026)

Iterative Generation and Generalized Degree Distribution of Higher-Order Fractal Scale-Free Networks
by: Qi, Lin, et al.
Published: (2025)

Order polytopes of crown posets
by: Lundström, Teemu, et al.
Published: (2025)

Self-Avoiding Walks on Cayley Graphs Through the Lens of Symbolic Dynamics
by: Aubrun, Nathalie, et al.
Published: (2024)

Shrinking the Jung radius: Maximizing partial coverage of finite point sets
by: Bezdek, András, et al.
Published: (2024)

Directed Acyclic Outerplanar Graphs Have Constant Stack Number
by: Jungeblut, Paul, et al.
Published: (2022)

Higher Order Bell Symmetric Functions
by: Weising, Milo Bechtloff
Published: (2025)

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
VUFIND_SESSION	"99d9ff75d149f58ec3d2de810bf21397"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790847087.0269 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "99d9ff75d149f58ec3d2de810bf21397" ]`]
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	"VUFIND_SESSION=99d9ff75d149f58ec3d2de810bf21397; ui=standard; language=en"
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	"216.73.216.147"
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	"31417"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2405_01854/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2405_01854/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790847087.0228
REQUEST_TIME	1790847087

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"99d9ff75d149f58ec3d2de810bf21397"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790847087.0269 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "99d9ff75d149f58ec3d2de810bf21397" ]`]
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	"VUFIND_SESSION=99d9ff75d149f58ec3d2de810bf21397; ui=standard; language=en"
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	"216.73.216.147"
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	"31417"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2405_01854/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2405_01854/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790847087.0228
REQUEST_TIME	1790847087

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: