Largest $2$-regular Subgraphs in complete $S$-partite Graphs

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autori principali:	Jiang, Yiyang, Chen, Xudong
Natura:	Preprint
Pubblicazione:	2026
Soggetti:	Combinatorics
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

The Maker-Breaker Largest Connected Subgraph Game
di: Bensmail, Julien, et al.
Pubblicazione: (2024)

Subgraph discrepancies in the complete graph
di: Christoph, Micha, et al.
Pubblicazione: (2026)

Growth of regular partitions 2: Weak regularity
di: Terry, C.
Pubblicazione: (2024)

Forbidden subgraphs and complete partitions
di: Byrne, John, et al.
Pubblicazione: (2023)

Growth of regular partitions 4: strong regularity and the pairs partition
di: Terry, C.
Pubblicazione: (2024)

Growth of regular partitions 3: strong regularity and the vertex partition
di: Terry, C.
Pubblicazione: (2024)

Combinatorial proof of identities involving partitions with distinct even parts and 4-regular partitions
di: Chen, Dandan, et al.
Pubblicazione: (2024)

Inequalities for $k$-regular partitions
di: Heim, Bernhard, et al.
Pubblicazione: (2024)

The Largest and Smallest Eigenvalues of Matrices and Some Hamiltonian Properties of Graphs
di: Li, Rao
Pubblicazione: (2024)

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

Generalizations of Euler's Theorem to $k$-regular partitions
di: Lin, Hongshu, et al.
Pubblicazione: (2025)

Non-r-partite graphs without complete split subgraphs
di: Wang, Bing, et al.
Pubblicazione: (2025)

Covering complete $r$-partite hypergraphs with few monochromatic components
di: Hawranick, Luke, et al.
Pubblicazione: (2026)

On the hook length biases of the $2$- and $3$-regular partitions
di: Qu, Wenxia, et al.
Pubblicazione: (2025)

On Large Induced Outerplanar Subgraphs in $2$-Outerplanar Graphs
di: D'Elia, Marco, et al.
Pubblicazione: (2026)

A note on lower bounds for arithmetic regularity partitions
di: Gladkova, V.
Pubblicazione: (2025)

Circuit partitions and signed interlacement in 4-regular graphs
di: Traldi, Lorenzo
Pubblicazione: (2016)

On the maximum number of $r$-cliques in graphs free of complete $r$-partite subgraphs
di: Balogh, József, et al.
Pubblicazione: (2024)

Induced arithmetic removal for partition-regular patterns of complexity 1
di: Gladkova, V.
Pubblicazione: (2024)

Almost partitioning every $2$-edge-coloured complete $k$-graph into $k$ monochromatic tight cycles
di: Lo, Allan, et al.
Pubblicazione: (2023)

Hook length inequalities for $t$-regular partitions in the $t$-aspect
di: Singh, Gurinder, et al.
Pubblicazione: (2024)

Hook length biases in ordinary and $t$-regular partitions
di: Singh, Gurinder, et al.
Pubblicazione: (2024)

Minimum Number of Monochromatic Subgraphs of a Random Graph
di: Dandi, Yatin, et al.
Pubblicazione: (2026)

Bisection width, max-cut and internal partitions of 5-regular graphs
di: Csóka, Endre, et al.
Pubblicazione: (2025)

Multilevel polynomial partitioning and semialgebraic hypergraphs: regularity, Turán, and Zarankiewicz results
di: Tidor, Jonathan, et al.
Pubblicazione: (2024)

Markov's equation is not partition regular
di: Tao, Tianyi, et al.
Pubblicazione: (2025)

Subgraph Games in the Semi-Random Graph Process and Its Generalization to Hypergraphs
di: Behague, Natalie C., et al.
Pubblicazione: (2021)

New Invariants for Partitioning a Graph into 2-connected Subgraphs
di: Furuya, Michitaka, et al.
Pubblicazione: (2024)

The Subgraphs of Order Six of the Family of Strongly Regular Graphs with Parameters $λ=1$ and $μ=2$
di: Reimbayev, Reimbay
Pubblicazione: (2025)

Pairwise Negative Correlation for Uniform Spanning Subgraphs of the Complete Graph
di: Tang, Pengfei, et al.
Pubblicazione: (2026)

The inequality on the number of $1$-hooks, $2$-hooks and $3$-hooks in $t$-regular partitions
di: Lin, Hongshu, et al.
Pubblicazione: (2025)

Forbidden Subgraphs of co-prime Graphs of finite Groups
di: V V, Swathi, et al.
Pubblicazione: (2023)

Identities involving partitions with distinct even parts and $4$-regular partitions
di: Andrews, George E., et al.
Pubblicazione: (2024)

An equitable partition for the distance-regular graph of the bilinear forms
di: Terwilliger, Paul, et al.
Pubblicazione: (2025)

Complexity Framework For Forbidden Subgraphs V: Beyond Simple Graphs
di: Eagling-Vose, Tala, et al.
Pubblicazione: (2025)

Large Induced Subgraphs of Bounded Degree in Outerplanar and Planar Graphs
di: D'Elia, Marco, et al.
Pubblicazione: (2024)

Recognition Complexity of Subgraphs of k-Connected Planar Cubic Graphs
di: Goetze, Miriam, et al.
Pubblicazione: (2024)

Forbidden Induced Subgraph Characterization of Word-Representable Split Graphs
di: Srinivasan, Eshwar, et al.
Pubblicazione: (2025)

Deranged Perfect Matchings on complete graph and balanced complete r-partite graph
di: Deng, Boqing
Pubblicazione: (2025)

Unavoidable Induced Subgraph of Infinite 2-connected Graphs
di: Allred, Sarah, et al.
Pubblicazione: (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	"df2d858ae13d18420aaa35382b8b8c4b"
language	"it"
ui	"standard"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790990247.4389 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "df2d858ae13d18420aaa35382b8b8c4b" ]`]
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=df2d858ae13d18420aaa35382b8b8c4b; language=it; ui=standard"
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	"57790"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2603_27424/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2603_27424/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790990247.4306
REQUEST_TIME	1790990247

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler