Concentration of the maximum size of an induced subtree in moderately sparse random graphs

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autore principale:	Oropeza, Juan Carlos Buitrago
Natura:	Preprint
Pubblicazione:	2025
Soggetti:	Combinatorics
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

The likely maximum size of twin subtrees in a large random tree
di: Bona, Miklos, et al.
Pubblicazione: (2023)

The maximum degree of the $r$th power of a sparse random graph
di: Frieze, Alan, et al.
Pubblicazione: (2024)

On the extrema of the mean subtree order of graphs
di: Cambie, Stijn, et al.
Pubblicazione: (2025)

The dimension of sparse and co-sparse random graph orders
di: Gao, Pu, et al.
Pubblicazione: (2025)

The vertex sets of subtrees of a tree
di: Chudnovsky, Maria, et al.
Pubblicazione: (2025)

Benjamini-Schramm convergence and subtrees of trees
di: Cambie, Stijn, et al.
Pubblicazione: (2026)

On the Prague dimension of sparse random graphs
di: Joos, Felix, et al.
Pubblicazione: (2025)

A note on high-dimensional discrepancy of subtrees
di: Hollom, Lawrence, et al.
Pubblicazione: (2024)

A note on the width of sparse random graphs
di: Do, Tuan Anh, et al.
Pubblicazione: (2022)

Packing and finding paths in sparse random graphs
di: Iršič, Vesna, et al.
Pubblicazione: (2024)

Embedding induced trees in sparse expanding graphs
di: Girão, António, et al.
Pubblicazione: (2024)

Canonical labelling of sparse random graphs
di: Verbitsky, Oleg, et al.
Pubblicazione: (2024)

Twin-width of sparse random graphs
di: Hendrey, Kevin, et al.
Pubblicazione: (2023)

Structure of lower tails in sparse random graphs
di: Chin, Byron
Pubblicazione: (2023)

The largest common subtree of two random trees
di: Angel, Omer, et al.
Pubblicazione: (2025)

Maximal and maximum induced matchings in connected graphs
di: Yuan, Bo-Jun, et al.
Pubblicazione: (2024)

Counting sparse induced subgraphs in locally dense graphs
di: Nenadov, Rajko
Pubblicazione: (2024)

Sharp threshold for Hamilton cycles in randomly perturbed sparse graphs
di: Ma, Guorui, et al.
Pubblicazione: (2026)

Planar graphs with the maximum number of induced 6-cycles
di: Savery, Michael
Pubblicazione: (2021)

Long induced paths in sparse graphs and graphs with forbidden patterns
di: Duron, Julien, et al.
Pubblicazione: (2024)

A remark on the independence number of sparse random Cayley sum graphs
di: Nenadov, Rajko
Pubblicazione: (2025)

A note on the chromatic number of the square of a sparse random graph
di: Frieze, Alan, et al.
Pubblicazione: (2023)

Spectra of high-dimensional sparse random geometric graphs
di: Cao, Yifan, et al.
Pubblicazione: (2025)

Minimum stationary values of sparse random directed graphs
di: Cai, Xing Shi, et al.
Pubblicazione: (2020)

Local central limit theorem for triangle counts in sparse random graphs
di: Araújo, Pedro, et al.
Pubblicazione: (2023)

A counterexample to linear relationship between largest common subtrees and smallest common supertrees
di: Brzeski, Maciej
Pubblicazione: (2025)

First order distinguishability of sparse random graphs
di: Hershko, Tal, et al.
Pubblicazione: (2024)

On the maximum degree of induced subgraphs of the Kneser graph
di: Chau, Hou Tin, et al.
Pubblicazione: (2023)

Majority dynamics on sparse random graphs
di: Chakraborti, Debsoumya, et al.
Pubblicazione: (2021)

The maximum index of signed complete graphs whose negative edges induce a bicyclic graph
di: Fang, Ziyi, et al.
Pubblicazione: (2024)

A central limit theorem for the matching number of a sparse random graph
di: Glasgow, Margalit, et al.
Pubblicazione: (2024)

Coloring locally sparse graphs
di: Anderson, James, et al.
Pubblicazione: (2024)

The maximum size of a nonhamiltonian-connected graph with given order and minimum degree
di: Zhang, Leilei
Pubblicazione: (2024)

The binomial random graph is a bad inducer
di: Jain, Vishesh, et al.
Pubblicazione: (2023)

The maximum number of maximum dissociation sets in potted graphs
di: Huang, Zejun, et al.
Pubblicazione: (2024)

A quasi-optimal upper bound for induced paths in sparse graphs
di: Couëtoux, Basile, et al.
Pubblicazione: (2025)

Improved lower bounds on the maximum size of graphs with girth 5
di: Goedgebeur, Jan, et al.
Pubblicazione: (2025)

On the maximum number of common neighbours in dense random regular graphs
di: Isaev, Mikhail, et al.
Pubblicazione: (2023)

On Alon-Tarsi orientations of sparse graphs
di: Cho, Eun-Kyung, et al.
Pubblicazione: (2025)

On endomorphism universality of sparse graph classes
di: Knauer, Kolja, 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
language	"it"
ui	"standard"
VUFIND_SESSION	"d0d1b0ae05acb9ce57def29675bf4c5c"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790958125.9175 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "d0d1b0ae05acb9ce57def29675bf4c5c" ]`]
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	"language=it; ui=standard; VUFIND_SESSION=d0d1b0ae05acb9ce57def29675bf4c5c"
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	"54703"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2506_02801/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2506_02801/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790958125.9108
REQUEST_TIME	1790958125

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler