Error message
- Deprecated function: Return type of DatabaseStatementBase::execute($args = [], $options = []) should either be compatible with PDOStatement::execute(?array $params = null): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2244 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/lamsade/www/projets_conf/poc/includes/database/database.inc).
- Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in drupal_random_bytes() (line 2268 of /home/lamsade/www/projets_conf/poc/includes/bootstrap.inc).
- Deprecated function: Return type of DateObject::__wakeup() should either be compatible with DateTime::__wakeup(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 158 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Return type of DateObject::format($format, $force = false) should either be compatible with DateTime::format(string $format): string, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 158 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Return type of DateObject::setTimezone($tz, $force = false) should either be compatible with DateTime::setTimezone(DateTimeZone $timezone): DateTime, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 158 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: rtrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2349 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
- Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in _filter_url_trim() (line 1664 of /home/lamsade/www/projets_conf/poc/modules/filter/filter.module).
- Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$timeOnly is deprecated in DateObject->__construct() (line 221 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$dateOnly is deprecated in DateObject->__construct() (line 222 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property DateObject::$originalTime is deprecated in DateObject->__construct() (line 225 of /home/lamsade/www/projets_conf/poc/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in _filter_url_trim() (line 1664 of /home/lamsade/www/projets_conf/poc/modules/filter/filter.module).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: strpos(): Passing null to parameter #1 ($haystack) of type string is deprecated in url_is_external() (line 2393 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
- Deprecated function: str_replace(): Passing null to parameter #3 ($subject) of type array|string is deprecated in url_is_external() (line 2395 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
- Deprecated function: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated in url() (line 2311 of /home/lamsade/www/projets_conf/poc/includes/common.inc).
- Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property SelectQuery::$alterTags is deprecated in SelectQuery->addTag() (line 978 of /home/lamsade/www/projets_conf/poc/includes/database/select.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
- Deprecated function: Creation of dynamic property DatabaseCondition::$stringVersion is deprecated in DatabaseCondition->compile() (line 1865 of /home/lamsade/www/projets_conf/poc/includes/database/query.inc).
SPOC 2 "Facettes et Polyèdres Combinatoires"
Date:
Friday, 30 March, 2007
2ème Séminaire POC
Le VENDREDI 30 MARS 2007
A l’Institut Henri Poincaré(IHP)
de l’Université Pierre et Marie Curie (Paris 6)
Salle 201
11 rue Pierre et Marie Curie
75005 Paris
Sur le thème
"Facettes et Polyèdres Combinatoires"
Pour s’incrire : envoyer un mail à pierre.pesneau at math.u-bordeaux1.fr
Programme prévisionnel
| 9h30-10h | Accueil des participants |
| 10h-10h15 | Introduction à la journée |
| 10h15-11h15 | Peut-on vérifier en temps polynomial, sans utiliser la méthode des ellipsoïdes qu’un point appartient à un polyèdre ? Cas du polytope des indépendants d’un matroïde et des couplages d’un graphe. Jean Fonlupt |
| 11h15-12h | Questions Ouvertes |
| 12h-13h45 | REPAS |
| 13h45-14h15 | Une nouvelle preuve de l’inégalité de peigne et son utilisation pour la composition de facettes du Polyèdre du Voyageur de commerce Viet Hung Nguyen |
| 14h15-14h45 | Systèmes totalement dualement activement unimodulaires Vincent Jost |
| 14h45-15h30 | Questions Ouvertes |
| 15h30-15h45 | PAUSE |
| 15h45-16h15 | Inégalités valides pour le problème de multiflot maximum Lucas Létocart |
| 16h15-17h | Questions Ouvertes |
| 17h | Clôture de la journée |