Relative accessibility for graphs

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	MacManus, Joseph Paul
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Group Theory 05C63, 20F65, 20E08
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Vertex-transitive graphs with uniformly bisecting quasi-geodesics
by: MacManus, Joseph
Published: (2025)

Fat minors in finitely presented groups
by: MacManus, Joseph
Published: (2024)

Tiling in some nonpositively curved groups
by: MacManus, Joseph, et al.
Published: (2024)

Almost planar finitely presented groups
by: Mackay, John M., et al.
Published: (2026)

Deciding if a hyperbolic group splits over a given quasiconvex subgroup
by: MacManus, Joseph
Published: (2022)

On polynomial free-by-cyclic groups
by: Mutanguha, Jean Pierre
Published: (2024)

Limit trees for free group automorphisms: universality
by: Mutanguha, Jean Pierre
Published: (2022)

Weakly branch actions: first-order theory, rigidity and Boston's conjecture
by: Fariña-Asategui, Jorge
Published: (2025)

Finite-index accessibility of groups
by: Forester, Max, et al.
Published: (2024)

Dynamics and Obstructions for Self-Similar Groups Generating Free Groups
by: D'Angeli, Daniele, et al.
Published: (2025)

Finitely presented simple groups with at least exponential Dehn function
by: Zaremsky, Matthew C. B.
Published: (2023)

A guide to constructing free transitive actions on median spaces
by: Azuelos, Pénélope
Published: (2025)

Property FA for random $\ell$-gonal groups
by: Clement, Emily, et al.
Published: (2025)

Tree-like graphings, wallings, and median graphings of equivalence relations
by: Chen, Ruiyuan, et al.
Published: (2023)

Bounded projections to the $\mathcal{Z}$-factor graph
by: Clay, Matt, et al.
Published: (2023)

On the finite presentation of subdirect products and the nature of residually free groups
by: Bridson, Martin R., et al.
Published: (2012)

JSJ splittings for all Artin groups
by: Jones, Oli, et al.
Published: (2025)

When is the Outer Space of a free product CAT(0)?
by: Lyman, Robert Alonzo
Published: (2022)

Rigidity of the Torelli subgroup in $Out(F_N)$
by: Hensel, Sebastian, et al.
Published: (2019)

Homomorphic Images of Locally Compact Groups Acting on Trees and Buildings
by: Carter, Max, et al.
Published: (2021)

Colored Stallings graphs and Counterexamples to Stallings equalizer conjecture
by: Lei, Jialin, et al.
Published: (2026)

Simple totally disconnected locally compact groups separated by finiteness properties
by: Bonn, Laura, et al.
Published: (2025)

Cayley graphs with few automorphisms: the case of infinite groups
by: Leemann, Paul-Henry, et al.
Published: (2020)

Simple Lattices in Products of Davis Complexes
by: Amir, Michal, et al.
Published: (2026)

Cubulating a free-product-by-cyclic group
by: Dahmani, François, et al.
Published: (2022)

Hyperbolic hyperbolic-by-cyclic groups are cubulable
by: Dahmani, François, et al.
Published: (2023)

Algebraically hyperbolic groups
by: Gardam, Giles, et al.
Published: (2021)

Towards a Stallings-type theorem for finite groups
by: Carmesin, Johannes, et al.
Published: (2024)

Common overlattices in trees and trees with fins
by: Shepherd, Sam
Published: (2026)

Finite approximation of free groups I: the $F$-inverse cover problem
by: Auinger, K., et al.
Published: (2022)

On spectra and spectral measures of Schreier and Cayley graphs
by: Grigorchuk, Rostislav, et al.
Published: (2020)

On the space of subgroups of Baumslag-Solitar groups I: perfect kernel and phenotype
by: Carderi, Alessandro, et al.
Published: (2022)

On the heat kernel of a Cayley graph of $\operatorname{PSL}_2\mathbb{Z}$
by: Karlsson, Anders, et al.
Published: (2025)

Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups
by: Genevois, Anthony
Published: (2022)

Free-by-cyclic groups are conjugacy separable
by: Dahmani, François, et al.
Published: (2025)

Property (VRC) and virtual fibering for amalgamated free products
by: Urigüen, Jon Merladet, et al.
Published: (2025)

Property FW and wreath products of groups: a simple approach using Schreier graphs
by: Leemann, Paul-Henry, et al.
Published: (2021)

A note on asynchronously automatic groups and notions of non-positive curvature
by: Hughes, Sam, et al.
Published: (2023)

Type VF for outer automorphism groups of large-type Artin groups
by: Jones, Oli
Published: (2024)

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	"55c61787f4d709bb7faf8c0c8c32fe99"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790971094.1876 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "55c61787f4d709bb7faf8c0c8c32fe99" ]`]
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=55c61787f4d709bb7faf8c0c8c32fe99; 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	"216.73.217.142"
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	"62716"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2605_12629/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2605_12629/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790971094.1832
REQUEST_TIME	1790971094

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Environment & details:

GET Data empty

POST Data empty

Files empty

Key	Value
VUFIND_SESSION	"55c61787f4d709bb7faf8c0c8c32fe99"
ui	"standard"
language	"en"

Session

Key	Value
__Laminas	array:2 [`"_REQUEST_ACCESS_TIME" => 1790971094.1876 "_VALID" => array:1 [ "Laminas\Session\Validator\Id" => "55c61787f4d709bb7faf8c0c8c32fe99" ]`]
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=55c61787f4d709bb7faf8c0c8c32fe99; 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	"216.73.217.142"
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	"62716"
REDIRECT_URL	""" /Record/\n arxiv_https___arxiv_org_abs_2605_12629/Similar """
GATEWAY_INTERFACE	"CGI/1.1"
SERVER_PROTOCOL	"HTTP/1.1"
REQUEST_METHOD	"GET"
QUERY_STRING	""
REQUEST_URI	"/Record/%0Aarxiv_https___arxiv_org_abs_2605_12629/Similar"
SCRIPT_NAME	"/index.php"
PHP_SELF	"/index.php"
REQUEST_TIME_FLOAT	1790971094.1832
REQUEST_TIME	1790971094

Environment Variables empty

Registered Handlers

0. Whoops\Handler\PrettyPageHandler

Similar Items

Similar Items

Environment & details:

Environment & details: