{"id":{"repo_id":"greece","oai_identifier":"oai:10442/1668"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/1668","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"ΧΕΙΡΟΤΕΡΗ ΚΑΙ ΜΕΣΗ ΣΥΜΠΕΡΙΦΟΡΑ ΠΑΡΑΛΛΗΛΩΝ ΑΛΓΟΡΙΘΜΩΝ ΓΙΑ ΠΡΟΒΛΗΜΑΤΑ ΓΡΑΦΩΝ","abstract":"IN THIS THESIS FAST, OPTIMAL AND/OR EFFICIENT PARALLEL ALGORITHMS ARE DEVELOPEDFOR MANY IMPORTANT GRAPH PROBLEMS WHICH IMPROVE SIGNIFICANTLY THE COMPLEXITIESOF THE BEST PREVIOUS KNOWN PARALLEL ALGORITHMS ON THE SAME PROBLEMS. MORE PRECISELY WE INVESTIGATE, (I) THE WORST-CASE PARALLEL COMPLEXITY MOSTLY OF COLORINGAND SHORTEST PATH PROBLEMS IN SPARSE (E.G. PLANAR) GRAPHS, AND (II) THE AVERAGE-CASE PARALLEL COMPLEXITY OF A GRAPH COLORING PROBLEM WHICH IS KNOWN TO BE NP-COMPLETE IN THE WORST CASE. THE ALGORITHMS CAN BE CHARACTERIZED IN A STRUCTURALWAY, IN THE SENSE THAT IN ORDER TO SOLVE THE MORE INVOLVED PROBLEMS, WE FIRST GIVE SOLUTIONS TO SOME BASIC UNDERLYING ONES. THIS STRUCTURE SEEMS TO BE IMPORTANT IN THE DESIGN OF PARALLEL ALGORITHMS.","abstract_html":"IN THIS THESIS FAST, OPTIMAL AND/OR EFFICIENT PARALLEL ALGORITHMS ARE DEVELOPEDFOR MANY IMPORTANT GRAPH PROBLEMS WHICH IMPROVE SIGNIFICANTLY THE COMPLEXITIESOF THE BEST PREVIOUS KNOWN PARALLEL ALGORITHMS ON THE SAME PROBLEMS. MORE PRECISELY WE INVESTIGATE, (I) THE WORST-CASE PARALLEL COMPLEXITY MOSTLY OF COLORINGAND SHORTEST PATH PROBLEMS IN SPARSE (E.G. PLANAR) GRAPHS, AND (II) THE AVERAGE-CASE PARALLEL COMPLEXITY OF A GRAPH COLORING PROBLEM WHICH IS KNOWN TO BE NP-COMPLETE IN THE WORST CASE. THE ALGORITHMS CAN BE CHARACTERIZED IN A STRUCTURALWAY, IN THE SENSE THAT IN ORDER TO SOLVE THE MORE INVOLVED PROBLEMS, WE FIRST GIVE SOLUTIONS TO SOME BASIC UNDERLYING ONES. THIS STRUCTURE SEEMS TO BE IMPORTANT IN THE DESIGN OF PARALLEL ALGORITHMS.","abstract_has_math":false,"creators":["Ζαρολιάγκης, Χρήστος"],"institution":"University of Patras","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1991,"date_issued":"1991","date_published":"1991","updated_at":"2026-07-24T02:25:02Z","subjects":["ΑΝΑΛΥΣΗ ΜΕΣΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΑΛΓΟΡΙΘΜΟΥ","ΑΝΑΛΥΣΗ ΧΕΙΡΟΤΕΡΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΑΛΓΟΡΙΘΜΟΥ","ΕΠΙΠΕΔΟΙ ΓΡΑΦΟΙ","ΜΟΝΤΕΛΟ PRAM","Παράλληλοι αλγόριθμοι","ΣΥΝΤΟΜΟΤΕΡΟ ΜΟΝΟΠΑΤΙ","ΤΥΧΑΙΟΙ ΓΡΑΦΟΙ","AVERAGE CASE ANALYSIS","Parallel algorithms","PLANAR GRAPHS","PRAM MODEL","Random graphs","SHORTEST PATH","WORST CASE ANALYSIS","Φυσικές Επιστήμες","Επιστήμη Ηλεκτρονικών Υπολογιστών και Πληροφορική","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Ηλεκτρολόγου Μηχανικού, Ηλεκτρονικού Μηχανικού, Μηχανικού Η/Υ","Natural Sciences","Computer and Information Sciences","Engineering and Technology","Electrical Engineering, Electronic Engineering, Information Engineering"],"languages":["gre"],"rights":[],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1668"],"render_values":[{"text":"10.12681/eadd/1668","href":"https://doi.org/10.12681/eadd/1668","code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/10442/hedi/1668","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Ζαρολιάγκης, Χρήστος"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["1991"]},{"key":"dc:publisher","label":"Institution","values":["University of Patras","Πανεπιστήμιο Πατρών"]},{"key":"dc:type","label":"Dc Type","values":["PhD Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["ΑΝΑΛΥΣΗ ΜΕΣΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΑΛΓΟΡΙΘΜΟΥ","ΑΝΑΛΥΣΗ ΧΕΙΡΟΤΕΡΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΑΛΓΟΡΙΘΜΟΥ","ΕΠΙΠΕΔΟΙ ΓΡΑΦΟΙ","ΜΟΝΤΕΛΟ PRAM","Παράλληλοι αλγόριθμοι","ΣΥΝΤΟΜΟΤΕΡΟ ΜΟΝΟΠΑΤΙ","ΤΥΧΑΙΟΙ ΓΡΑΦΟΙ","AVERAGE CASE ANALYSIS","Parallel algorithms","PLANAR GRAPHS","PRAM MODEL","Random graphs","SHORTEST PATH","WORST CASE ANALYSIS","Φυσικές Επιστήμες","Επιστήμη Ηλεκτρονικών Υπολογιστών και Πληροφορική","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Ηλεκτρολόγου Μηχανικού, Ηλεκτρονικού Μηχανικού, Μηχανικού Η/Υ","Natural Sciences","Computer and Information Sciences","Engineering and Technology","Electrical Engineering, Electronic Engineering, Information Engineering"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["gre"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["10.12681/eadd/1668","http://hdl.handle.net/10442/hedi/1668"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["IN THIS THESIS FAST, OPTIMAL AND/OR EFFICIENT PARALLEL ALGORITHMS ARE DEVELOPEDFOR MANY IMPORTANT GRAPH PROBLEMS WHICH IMPROVE SIGNIFICANTLY THE COMPLEXITIESOF THE BEST PREVIOUS KNOWN PARALLEL ALGORITHMS ON THE SAME PROBLEMS. MORE PRECISELY WE INVESTIGATE, (I) THE WORST-CASE PARALLEL COMPLEXITY MOSTLY OF COLORINGAND SHORTEST PATH PROBLEMS IN SPARSE (E.G. PLANAR) GRAPHS, AND (II) THE AVERAGE-CASE PARALLEL COMPLEXITY OF A GRAPH COLORING PROBLEM WHICH IS KNOWN TO BE NP-COMPLETE IN THE WORST CASE. THE ALGORITHMS CAN BE CHARACTERIZED IN A STRUCTURALWAY, IN THE SENSE THAT IN ORDER TO SOLVE THE MORE INVOLVED PROBLEMS, WE FIRST GIVE SOLUTIONS TO SOME BASIC UNDERLYING ONES. THIS STRUCTURE SEEMS TO BE IMPORTANT IN THE DESIGN OF PARALLEL ALGORITHMS.","ΣΤΗΝ ΠΑΡΟΥΣΑ ΔΙΑΤΡΙΒΗ ΑΝΑΠΤΥΣΣΟΝΤΑΙ ΓΡΗΓΟΡΟΙ, ΒΕΛΤΙΣΤΟΙ 'Η/ΚΑΙ ΑΠΟΔΟΤΙΚΟΙ ΠΑΡΑΛΛΗΛΟΙ ΑΛΓΟΡΙΘΜΟΙ ΓΙΑ ΠΡΟΒΛΗΜΑΤΑ ΓΡΑΦΩΝ ΟΙ ΟΠΟΙΟΙ ΒΕΛΤΙΩΝΟΥΝ ΣΗΜΑΝΤΙΚΑ ΤΙΣ ΠΟΛΥΠΛΟΚΟΤΗΤΕΣ ΤΩΝ ΠΡΟΗΓΟΥΜΕΝΩΝ ΚΑΛΥΤΕΡΩΝ ΠΑΡΑΛΛΗΛΩΝ ΑΛΓΟΡΙΘΜΩΝ ΓΙΑ ΤΑ ΙΔΙΑ ΠΡΟΒΛΗΜΑΤΑ. ΠΙΟ ΣΥΓΚΕΚΡΙΜΕΝΑ ΕΞΕΤΑΖΟΥΜΕ, (Α) ΤΗΝ ΧΕΙΡΟΤΕΡΗ ΠΑΡΑΛΛΗΛΗ ΠΟΛΥΠΛΟΚΟΤΗΤΑ ΚΥΡΙΩΣ ΠΡΟΒΛΗΜΑΤΩΝ ΧΡΩΜΑΤΙΣΜΟΥ ΚΑΙ ΕΥΡΕΣΗΣ ΣΥΝΤΟΜΟΤΕΡΩΝ ΜΟΝΟΠΑΤΙΩΝ ΣΕ ΑΡΑΙΟΥΣ (Π.Χ.ΕΠΙΠΕΔΟΥΣ) ΓΡΑΦΟΥΣ, ΚΑΙ (Β) ΤΗΝ ΜΕΣΗ ΠΑΡΑΛΛΗΛΗ ΠΟΛΥΠΛΟΚΟΤΗΤΑ ΕΝΟΣ ΠΡΟΒΛΗΜΑΤΟΣ ΧΡΩΜΑΤΙΣΜΟΥ ΓΡΑΦΩΝ ΤΟ ΟΠΟΙΟ ΕΙΝΑΙ ΝΡ-ΠΛΗΡΕΣ ΩΣ ΠΡΟΣ ΤΗΝ ΠΟΛΥΠΛΟΚΟΤΗΤΑ ΧΕΙΡΟΤΕΡΗΣ ΠΕΡΙΠΤΩΣΗΣ. ΟΙ ΑΛΓΟΡΙΘΜΟΙ ΧΑΡΑΚΤΗΡΙΖΟΝΤΑΙ ΑΠΟ ΜΙΑ ΔΟΜΙΚΗ ΕΞΑΡΤΗΣΗ, ΜΕ ΤΗΝ ΕΝΝΟΙΑ ΟΤΙ ΓΙΑ ΝΑ ΛΥΣΟΥΜΕ ΤΑ ΠΙΟ ΣΥΝΘΕΤΑ ΠΡΟΒΛΗΜΑΤΑ ΔΙΝΟΥΜΕ ΠΡΩΤΑ ΛΥΣΕΙΣ ΣΕ ΒΑΣΙΚΑΚΑΙ ΠΙΟ ΑΠΛΑ ΠΡΟΒΛΗΜΑΤΑ . ΑΥΤΗ Η ΔΟΜΗ ΕΙΝΑΙ ΑΡΚΕΤΑ ΣΗΜΑΝΤΙΚΗ ΣΤΟ ΣΧΕΔΙΑΣΜΟ ΠΑΡΑΛΛΗΛΩΝ ΑΛΓΟΡΙΘΜΩΝ."]},{"key":"dc:title","label":"Title","values":["ΧΕΙΡΟΤΕΡΗ ΚΑΙ ΜΕΣΗ ΣΥΜΠΕΡΙΦΟΡΑ ΠΑΡΑΛΛΗΛΩΝ ΑΛΓΟΡΙΘΜΩΝ ΓΙΑ ΠΡΟΒΛΗΜΑΤΑ ΓΡΑΦΩΝ","WORST AND AVERAGE CASE BEHAVIOUR OF PARALLEL ALGORITHMS FOR GRAPH PROBLEMS"]}]}],"canonical_facts":{"dc:creator":["Ζαρολιάγκης, Χρήστος"],"dc:date":["1991"],"dc:description":["IN THIS THESIS FAST, OPTIMAL AND/OR EFFICIENT PARALLEL ALGORITHMS ARE DEVELOPEDFOR MANY IMPORTANT GRAPH PROBLEMS WHICH IMPROVE SIGNIFICANTLY THE COMPLEXITIESOF THE BEST PREVIOUS KNOWN PARALLEL ALGORITHMS ON THE SAME PROBLEMS. MORE PRECISELY WE INVESTIGATE, (I) THE WORST-CASE PARALLEL COMPLEXITY MOSTLY OF COLORINGAND SHORTEST PATH PROBLEMS IN SPARSE (E.G. PLANAR) GRAPHS, AND (II) THE AVERAGE-CASE PARALLEL COMPLEXITY OF A GRAPH COLORING PROBLEM WHICH IS KNOWN TO BE NP-COMPLETE IN THE WORST CASE. THE ALGORITHMS CAN BE CHARACTERIZED IN A STRUCTURALWAY, IN THE SENSE THAT IN ORDER TO SOLVE THE MORE INVOLVED PROBLEMS, WE FIRST GIVE SOLUTIONS TO SOME BASIC UNDERLYING ONES. THIS STRUCTURE SEEMS TO BE IMPORTANT IN THE DESIGN OF PARALLEL ALGORITHMS.","ΣΤΗΝ ΠΑΡΟΥΣΑ ΔΙΑΤΡΙΒΗ ΑΝΑΠΤΥΣΣΟΝΤΑΙ ΓΡΗΓΟΡΟΙ, ΒΕΛΤΙΣΤΟΙ 'Η/ΚΑΙ ΑΠΟΔΟΤΙΚΟΙ ΠΑΡΑΛΛΗΛΟΙ ΑΛΓΟΡΙΘΜΟΙ ΓΙΑ ΠΡΟΒΛΗΜΑΤΑ ΓΡΑΦΩΝ ΟΙ ΟΠΟΙΟΙ ΒΕΛΤΙΩΝΟΥΝ ΣΗΜΑΝΤΙΚΑ ΤΙΣ ΠΟΛΥΠΛΟΚΟΤΗΤΕΣ ΤΩΝ ΠΡΟΗΓΟΥΜΕΝΩΝ ΚΑΛΥΤΕΡΩΝ ΠΑΡΑΛΛΗΛΩΝ ΑΛΓΟΡΙΘΜΩΝ ΓΙΑ ΤΑ ΙΔΙΑ ΠΡΟΒΛΗΜΑΤΑ. ΠΙΟ ΣΥΓΚΕΚΡΙΜΕΝΑ ΕΞΕΤΑΖΟΥΜΕ, (Α) ΤΗΝ ΧΕΙΡΟΤΕΡΗ ΠΑΡΑΛΛΗΛΗ ΠΟΛΥΠΛΟΚΟΤΗΤΑ ΚΥΡΙΩΣ ΠΡΟΒΛΗΜΑΤΩΝ ΧΡΩΜΑΤΙΣΜΟΥ ΚΑΙ ΕΥΡΕΣΗΣ ΣΥΝΤΟΜΟΤΕΡΩΝ ΜΟΝΟΠΑΤΙΩΝ ΣΕ ΑΡΑΙΟΥΣ (Π.Χ.ΕΠΙΠΕΔΟΥΣ) ΓΡΑΦΟΥΣ, ΚΑΙ (Β) ΤΗΝ ΜΕΣΗ ΠΑΡΑΛΛΗΛΗ ΠΟΛΥΠΛΟΚΟΤΗΤΑ ΕΝΟΣ ΠΡΟΒΛΗΜΑΤΟΣ ΧΡΩΜΑΤΙΣΜΟΥ ΓΡΑΦΩΝ ΤΟ ΟΠΟΙΟ ΕΙΝΑΙ ΝΡ-ΠΛΗΡΕΣ ΩΣ ΠΡΟΣ ΤΗΝ ΠΟΛΥΠΛΟΚΟΤΗΤΑ ΧΕΙΡΟΤΕΡΗΣ ΠΕΡΙΠΤΩΣΗΣ. ΟΙ ΑΛΓΟΡΙΘΜΟΙ ΧΑΡΑΚΤΗΡΙΖΟΝΤΑΙ ΑΠΟ ΜΙΑ ΔΟΜΙΚΗ ΕΞΑΡΤΗΣΗ, ΜΕ ΤΗΝ ΕΝΝΟΙΑ ΟΤΙ ΓΙΑ ΝΑ ΛΥΣΟΥΜΕ ΤΑ ΠΙΟ ΣΥΝΘΕΤΑ ΠΡΟΒΛΗΜΑΤΑ ΔΙΝΟΥΜΕ ΠΡΩΤΑ ΛΥΣΕΙΣ ΣΕ ΒΑΣΙΚΑΚΑΙ ΠΙΟ ΑΠΛΑ ΠΡΟΒΛΗΜΑΤΑ . ΑΥΤΗ Η ΔΟΜΗ ΕΙΝΑΙ ΑΡΚΕΤΑ ΣΗΜΑΝΤΙΚΗ ΣΤΟ ΣΧΕΔΙΑΣΜΟ ΠΑΡΑΛΛΗΛΩΝ ΑΛΓΟΡΙΘΜΩΝ."],"dc:identifier":["10.12681/eadd/1668","http://hdl.handle.net/10442/hedi/1668"],"dc:language":["gre"],"dc:publisher":["University of Patras","Πανεπιστήμιο Πατρών"],"dc:subject":["ΑΝΑΛΥΣΗ ΜΕΣΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΑΛΓΟΡΙΘΜΟΥ","ΑΝΑΛΥΣΗ ΧΕΙΡΟΤΕΡΗΣ ΣΥΜΠΕΡΙΦΟΡΑΣ ΑΛΓΟΡΙΘΜΟΥ","ΕΠΙΠΕΔΟΙ ΓΡΑΦΟΙ","ΜΟΝΤΕΛΟ PRAM","Παράλληλοι αλγόριθμοι","ΣΥΝΤΟΜΟΤΕΡΟ ΜΟΝΟΠΑΤΙ","ΤΥΧΑΙΟΙ ΓΡΑΦΟΙ","AVERAGE CASE ANALYSIS","Parallel algorithms","PLANAR GRAPHS","PRAM MODEL","Random graphs","SHORTEST PATH","WORST CASE ANALYSIS","Φυσικές Επιστήμες","Επιστήμη Ηλεκτρονικών Υπολογιστών και Πληροφορική","Επιστήμες Μηχανικού και Τεχνολογία","Επιστήμη Ηλεκτρολόγου Μηχανικού, Ηλεκτρονικού Μηχανικού, Μηχανικού Η/Υ","Natural Sciences","Computer and Information Sciences","Engineering and Technology","Electrical Engineering, Electronic Engineering, Information Engineering"],"dc:title":["ΧΕΙΡΟΤΕΡΗ ΚΑΙ ΜΕΣΗ ΣΥΜΠΕΡΙΦΟΡΑ ΠΑΡΑΛΛΗΛΩΝ ΑΛΓΟΡΙΘΜΩΝ ΓΙΑ ΠΡΟΒΛΗΜΑΤΑ ΓΡΑΦΩΝ","WORST AND AVERAGE CASE BEHAVIOUR OF PARALLEL ALGORITHMS FOR GRAPH PROBLEMS"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:25:02Z"}