The node number in the digraph does not match the node number used in shortestpath().

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Rikuto Suzuki
Rikuto Suzuki 2022-4-11
评论： Rikuto Suzuki 2022-4-11
I created a digraph of a certain track and tried to find the shortest path using the shortestpath() function. But for some reason, Mattlab calculated the shortest path using the wrong starting point and target point. For example, in the following case, I wanted to find the shortest path from node 228 to 231, but it found the path from node 229 to 232 instead. What is the cause of this and how can I resolve it?
all_ids = {'1','2','3','4','5','6','7','8','9','10','11','12','18','17','16','15','13','14','19','20','21','27','26','25','24','22','23','28','29','30','36','35','34','33','31','32','37','38','39','45','44','43','42','40','41','46','47','48','54','53','52','51','49','50','55','56','57','63','62','61','60','58','59','64','65','66','72','71','70','69','67','68','73','74','75','81','80','79','78','76','77','82','83','84','85','86','87','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468'};
all_names = {'1','2','3','4','5','6','7','8','9','10','11','12','18','17','16','15','13','14','19','20','21','27','26','25','24','22','23','28','29','30','36','35','34','33','31','32','37','38','39','45','44','43','42','40','41','46','47','48','54','53','52','51','49','50','55','56','57','63','62','61','60','58','59','64','65','66','72','71','70','69','67','68','73','74','75','81','80','79','78','76','77','82','83','84','85','86','87','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','306','307','308','309','310','311','312','313','314','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468'};
all_sources ={'1','2','3','4','5','6','7','8','9','9','9','9','10','10','10','10','11','11','11','11','12','12','12','18','17','16','13','14','15','19','20','20','21','27','26','25','24','22','23','28','28','29','29','30','30','36','35','34','33','31','32','37','37','38','38','39','39','45','44','43','42','40','41','46','46','47','47','48','48','54','53','52','51','49','50','55','56','56','57','57','63','62','61','60','58','59','64','64','65','65','66','66','72','71','70','69','67','68','73','73','74','74','75','75','81','80','79','78','76','77','82','82','83','83','84','84','86','87','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125','126','127','128','129','130','131','132','133','134','135','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','231','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','267','268','269','270','271','271','272','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','288','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','304','305','306','306','307','308','309','310','311','312','312','313','314','315','315','316','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','343','344','345','346','347','347','348','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','371','372','373','374','375','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','399','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','424','425','426','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','468'};
all_targets = {'111','9','101','10','112','11','134','139','3','5','7','8','5','7','8','1','7','8','1','3','1','3','5','21','146','20','145','19','20','17','17','13','13','30','119','29','147','288','28','24','26','26','22','22','24','39','107','38','113','114','37','33','35','35','31','31','33','48','89','47','98','90','46','42','44','44','40','40','42','57','91','56','104','308','55','53','53','49','49','51','66','148','65','144','129','64','60','62','62','58','58','60','75','124','74','110','95','73','69','71','71','67','67','69','84','92','83','87','85','82','78','80','80','76','76','78','77','45','79','54','41','93','94','68','96','97','81','99','100','4','102','103','43','105','106','36','108','109','52','2','70','34','6','115','116','117','118','27','120','121','122','123','32','125','126','127','128','59','130','131','132','133','72','135','136','137','138','16','140','141','142','143','15','14','61','25','18','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','198','173','174','175','176','177','178','179','180','181','182','183','184','185','186','187','188','189','190','191','192','193','194','195','196','197','63','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','217','218','219','220','221','222','223','224','225','226','227','228','229','230','267','232','233','234','235','236','237','238','239','240','241','242','243','244','245','246','247','248','249','250','251','252','253','254','255','256','257','258','259','260','261','262','263','264','265','266','172','268','269','270','271','272','302','273','274','275','276','277','278','279','280','281','282','283','284','285','286','287','23','289','290','291','292','293','294','295','296','297','298','299','300','301','302','303','304','305','343','306','307','231','267','309','310','311','312','313','375','314','315','316','426','317','318','319','320','321','322','323','324','325','326','327','328','329','330','331','332','333','334','335','336','337','338','339','340','341','342','305','344','345','346','347','348','399','349','350','351','352','353','354','355','356','357','358','359','360','361','362','363','364','365','366','367','368','369','370','371','372','425','373','374','51','376','377','378','379','380','381','382','383','384','385','386','387','388','389','390','391','392','393','394','395','396','397','398','338','400','401','402','403','404','405','406','407','408','409','410','411','412','413','414','415','416','417','418','419','420','421','422','423','424','425','372','50','427','428','429','430','431','432','433','434','435','436','437','438','439','440','441','442','443','444','445','446','447','448','449','450','451','452','453','454','455','456','457','458','459','460','461','462','463','464','465','466','467','468','234','228'};
[source_found, s] = ismember(all_sources, all_ids);
[target_found, t] = ismember(all_targets, all_ids);
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EdgeTable = table([s.', t.'], ones(length(s),1), 'VariableNames', {'EndNodes' 'Weight'});
NodeTable = table(all_names.', 'VariableNames',{'Name'});
figure()
G = digraph(EdgeTable,NodeTable);
p=plot(G,'XData',x,'YData',y);
axis square
xlabel('x')
ylabel('y')
title('BFMC track')
[path,d, edgepath] = shortestpath(G,228,231);
highlight(p,'Edges',edgepath)

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采纳的回答

Christine Tobler
Christine Tobler 2022-4-11
Try putting the node numbers in quotes:
[path,d, edgepath] = shortestpath(G,"228","231");
You have given each node a name, and while the first few nodes have names that match their number, that's not true for all of them. By inserting strings instead of numbers, shortestpath will look up the nodes in the G.Nodes.Name variable instead of taking the nodes that match positions 228 and 231 in the Name variable.

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