Discovering graph structures

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DISCOVERING GRAPH STRUCTURES Mariusz Gil

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ABOUT ME

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DEVELOPER / TECH-LEAD / CONSULTANT

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INSPIRATION IS BETTER THAN SOLUTION

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DATA

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CRUCIAL VERY THING IN YOUR APP

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CRUCIAL MOST THING IN YOUR APP STORING PROCESSING

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90+

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WHY?

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90+ HYPOTHESIS

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dev developers struct set list tree graph … SQL(struct)

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WE ALL SPEAK SQL* * INCLUDING 3NF THIS IS OUR WAY TO WORK WITH DATA

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7MB QUERY

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STORING PROCESSING

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90+ HYPOTHESIS EXTENDED

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dev developers struct set list tree graph … SQL(JSON(struct))

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GRAPHS

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POWERFUL SINCE 1736

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C A GRAPH = (VERTICES, EDGES) B

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C A SPARSE GRAPH B D C A COMPLETE GRAPH B D C A DENSE GRAPH B D ADJACENCY LIST ADJACENCY MATRIX

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DIGRAPH = (VERTICES, DIRECTED EDGES) C A B

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type: KNOWS VERTICES AND EDGES PROPERTIES B type: NOTHING A type: PERSON name: John Snow

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GRAPHS IN REAL LIFE

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Open In progress Resolved Reopened Closed

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task_id task_status 1 1 2 3 3 2 4 4 Open In progress Resolved Reopened Closed

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use Finite\StatefulInterface; class Document implements StatefulInterface { private $state; public function setFiniteState($state) { $this->state = $state; } public function getFiniteState() { return $this->state; } }

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use Finite\StateMachine\StateMachine; use Finite\State\State; use Finite\State\StateInterface; // $document = retrieve your stateful object $sm = new StateMachine(); // Define states $sm->addState( new State('s1', StateInterface::TYPE_INITIAL) ); $sm->addState('s2'); $sm->addState('s3'); $sm->addState( new State('s4', StateInterface::TYPE_FINAL) );

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s4 s3 s2 // Define transitions $sm->addTransition('t12', 's1', 's2'); $sm->addTransition('t23', 's2', 's3'); $sm->addTransition('t34', 's3', 's4'); $sm->addTransition('t42', 's4', 's2'); // Initialize $sm->setObject($document); $sm->initialize(); // Retrieve current state $sm->getCurrentState(); // Can we process a transition? $sm->can('t34'); s1

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HUNDREDS TRANSITIONS TENS OF MODELS ONE ACTION DRY HUNDREDS OF THOUSANDS OBJECTS IN DB

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/** * @Route("/change-state") */ public function changeStateAction() { // Get model // ... // Check user permissions // ... // Check transition and notify observers if ($model->isTransitionAllowed($targetState) { $model->setState($targetState); // Save change // ... } // Finish // ... }

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E C G F B A D H I J K L M

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E C G F B A D H I J 1:30 1:30 1:00 1:45 0:45 0:45 3:00 1:15 1:00 0:40 0:20 0:30 0:30 K L M

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@tom @bob @john #php #js #web Tweet X search tweet retweet favourite contains search search search follow follow search contains search

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require_once 'vendor/autoload.php'; use \Fhaculty\Graph\Graph as Graph; $graph = new Graph(); // Create some cities $rome = $graph->createVertex('Rome'); $madrid = $graph->createVertex('Madrid'); $cologne = $graph->createVertex('Cologne'); //Bbuild some roads $cologne->createEdgeTo($madrid); $madrid->createEdgeTo($rome); // create loop $rome->createEdgeTo($rome); // Process foreach ($rome->getVerticesEdgeFrom() as $vertex) { echo $vertex->getId().' leads to rome’ . PHP_EOL; }

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require_once 'vendor/autoload.php'; $graph = new Fhaculty\Graph\Graph(); $blue = $graph->createVertex('blue'); $blue->setAttribute('graphviz.color', 'blue'); $red = $graph->createVertex('red'); $red->setAttribute('graphviz.color', 'red'); $edge = $blue->createEdgeTo($red); $edge->setAttribute('graphviz.color', 'grey'); $graphviz = new Graphp\GraphViz\GraphViz(); $graphviz->display($graph);

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SEARCH SHORTEST PATH SPANNING TREES TRAVELING SALESMAN PROBLEM MAXIMUM FLOW MINIMUM COST FLOW MAXIMUM MATCHING ALGORITHMS

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TYPICAL SQL-WAY C A B mysql> SELECT * FROM `nodes`; +----+------+ | id | name | +----+------+ | 1 | A | | 2 | B | | 3 | C | +----+------+ 3 rows in set (0,00 sec) mysql> SELECT * FROM èdges`; +--------+--------+ | s_node | e_node | +--------+--------+ | 1 | 2 | | 2 | 3 | | 3 | 1 | +--------+--------+ 3 rows in set (0,00 sec) CREATE TABLE `nodes` ( ìd` int(11) NOT NULL auto_increment, `name` varchar(64) NOT NULL, PRIMARY KEY (ìd`) ) ENGINE=InnoDB; CREATE TABLE èdges` ( `s_node` int(11) NOT NULL, è_node` int(11) NOT NULL, PRIMARY KEY (`s_node`,è_node`), ) ENGINE=InnoDB;

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TYPICAL SQL-WAY C A B mysql> SELECT * FROM `nodes`; +----+------+ | id | name | +----+------+ | 1 | A | | 2 | B | | 3 | C | +----+------+ 3 rows in set (0,00 sec) mysql> SELECT * FROM èdges`; +--------+--------+-------+ | s_node | e_node | float | +--------+--------+-------+ | 1 | 2 | 6.50 | | 2 | 3 | 4.75 | | 3 | 1 | 10.00 | +--------+--------+-------+ 3 rows in set (0,00 sec) CREATE TABLE `nodes` ( ìd` int(11) NOT NULL auto_increment, `name` varchar(64) NOT NULL, PRIMARY KEY (ìd`) ) ENGINE=InnoDB; CREATE TABLE èdges` ( `s_node` int(11) NOT NULL, è_node` int(11) NOT NULL, `weight` float NOT NULL, PRIMARY KEY (`s_node`,è_node`), ) ENGINE=InnoDB; 10.00 6.50 4.75

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LARGE MEDIUM SMALL

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GRAPH ORIENTED DATABASE

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INSTALL

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SINGLE NODE SETUP wget -O - http://debian.neo4j.org/neotechnology.gpg.key | apt-key add - echo 'deb http://debian.neo4j.org/repo stable/' > /etc/apt/sources.list.d/neo4j.list apt-get update apt-get install neo4j service neo4j-service status LINUX EDITION

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RUN

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QUERY

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LIVE DEMO

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require_once 'vendor/autoload.php'; use Neoxygen\NeoClient\ClientBuilder; $client = ClientBuilder::create() ->addConnection('default') ->setAutoFormatResponse(true) ->build(); $query = 'MATCH (n)-[r]->(m) RETURN *'; $nodes = $client->sendCypherQuery($query) ->getResult() ->getNodes(); foreach ($nodes as $node) { echo sprintf( "%s %s:" . PHP_EOL, $node->getLabel(), $node->getProperty("name") ); }