On the number of 8-cycles for two particular regular tournaments of order N with diametrically opposite local properties

Fuente: arXiv

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Savchenko, Sergey
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Combinatorics
Online-Zugang:	Acceder al recurso
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Ähnliche Einträge

On 5-cycles and strong 5-subtournaments in a tournament of odd order n
von: Savchenko, Sergey
Veröffentlicht: (2024)

Sidorenko property and forcing in regular tournaments
von: Král', Daniel, et al.
Veröffentlicht: (2026)

Transversal cycles and paths in tournaments
von: Chakraborti, Debsoumya, et al.
Veröffentlicht: (2024)

Hamilton decompositions of regular tripartite tournaments
von: Di Braccio, Francesco, et al.
Veröffentlicht: (2025)

Vertex-disjoint cycles of different lengths in tournaments
von: Bai, Yandong, et al.
Veröffentlicht: (2024)

Computing the clique number of tournaments
von: Aubian, Guillaume
Veröffentlicht: (2024)

Acyclic subgraphs of tournaments with high chromatic number
von: Fox, Jacob, et al.
Veröffentlicht: (2019)

Finding forest-orderings of tournaments is NP-complete
von: Aboulker, Pierre, et al.
Veröffentlicht: (2024)

Solution on strong partition of $2$-balanced regular multipartite tournaments
von: Ai, Jiangdong, et al.
Veröffentlicht: (2024)

Online Ramsey numbers of ordered paths and cycles
von: Clemen, Felix Christian, et al.
Veröffentlicht: (2022)

On cyclotomic nearly-doubly-regular tournaments
von: Satake, Shohei
Veröffentlicht: (2025)

Schuttes property for sets of tournaments and an application to dice games
von: Jeffries, Joel
Veröffentlicht: (2026)

Partitioning a tournament into sub-tournaments of high connectivity
von: Girão, António, et al.
Veröffentlicht: (2022)

Planar Turán number of two adjacent cycles
von: Song, Xinzhe, et al.
Veröffentlicht: (2024)

A characterization of rich c-partite (c > 7) tournaments without (c + 2)-cycles
von: Zhang, Jie, et al.
Veröffentlicht: (2022)

Cyclic subsets of tournaments
von: Hunter, Zach, et al.
Veröffentlicht: (2025)

Hamilton transversals in tournaments
von: Chakraborti, Debsoumya, et al.
Veröffentlicht: (2023)

About the second neighborhood conjecture for tournaments missing two stars or disjoint paths
von: Daamouch, Moussa, et al.
Veröffentlicht: (2024)

Variations on Sidorenko's conjecture in tournaments
von: Fox, Jacob, et al.
Veröffentlicht: (2024)

Undecidability of polynomial inequalities in tournaments
von: Chen, Hao, et al.
Veröffentlicht: (2024)

Trees with many leaves in tournaments
von: Benford, Alistair, et al.
Veröffentlicht: (2022)

Immersions of directed graphs in tournaments
von: Girão, António, et al.
Veröffentlicht: (2023)

Blow-ups and extensions of trees in tournaments
von: Aboulker, Pierre, et al.
Veröffentlicht: (2024)

Invertibility of digraphs and tournaments
von: Alon, Noga, et al.
Veröffentlicht: (2022)

New Sidorenko-type inequalities in tournaments
von: He, Xiaoyu, et al.
Veröffentlicht: (2025)

Color-avoiding directed paths in tournaments
von: Fox, Jacob, et al.
Veröffentlicht: (2025)

The dimension of the region of feasible tournament profiles
von: Kral, Daniel, et al.
Veröffentlicht: (2023)

Some results and problems on tournament structure
von: Nguyen, Tung, et al.
Veröffentlicht: (2023)

Intransitive dice tournament is not quasirandom
von: Cornacchia, Elisabetta, et al.
Veröffentlicht: (2020)

Unavoidable structures in infinite tournaments
von: Benford, Alistair, et al.
Veröffentlicht: (2023)

Tournament completions of bipartite tournaments and their augmented directed cycles
von: Wong, H. W. Willie
Veröffentlicht: (2024)

A new perspective from hypertournaments to tournaments
von: Ai, Jiangdong, et al.
Veröffentlicht: (2024)

The Terwilliger algebras of doubly regular tournaments
von: Herman, Allen
Veröffentlicht: (2024)

Strong chordality in tournaments and multipartite tournaments with possible loops
von: Hell, Pavol, et al.
Veröffentlicht: (2025)

Counting permutations avoiding two flat partially ordered patterns
von: Cao, Shiqi, et al.
Veröffentlicht: (2026)

The structure of $Δ(1, 2, 2)$-free tournaments
von: Kim, Seokbeom, et al.
Veröffentlicht: (2025)

A note on the threshold numbers of cycles
von: Wang, Runze
Veröffentlicht: (2024)

The Ramsey numbers of squares of paths and cycles
von: Allen, Peter, et al.
Veröffentlicht: (2022)

Improved bound on the number of cycle sets
von: Nenadov, Rajko
Veröffentlicht: (2025)

Ramsey numbers of cycles in random graphs
von: Araújo, Pedro, et al.
Veröffentlicht: (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
VUFIND_SESSION	"4b47a5e42abf584addcc355555fee815"
ui	"standard"
language	"de"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790953277.5335 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "4b47a5e42abf584addcc355555fee815" ]`]
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=4b47a5e42abf584addcc355555fee815; ui=standard; language=de"
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	"15785"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2403_07629/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2403_07629/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790953277.5268
REQUEST_TIME	1790953277

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler