西安文理学院学报(自然科学版)
西安文理學院學報(自然科學版)
서안문이학원학보(자연과학판)
JOURNAL OF XI'AN UNIVERSITY OF ARTS AND SCIENCE (NATURAL SCIENCE EDITION)
2014年
3期
45-49,69
,共6页
随机网络%BA无标度网络%随机删除节点%蓄意删除节点%子集团
隨機網絡%BA無標度網絡%隨機刪除節點%蓄意刪除節點%子集糰
수궤망락%BA무표도망락%수궤산제절점%축의산제절점%자집단
random network%BA scale-free network%random node deletion%deliberate node deletion%sub-group
现实当中的许多复杂网络都无法避免地受到来自自然灾害或人为的攻击,从而导致网络破碎成很多大大小小的子集团。计算随机网络和BA无标度网络在随机删除节点与蓄意删除节点两种情况下产生的除最大连通图外其他子集团数量的情况。在产生的子集团中,结果发现它们特点是当节点删除比例f从0增大到1过程中,子集团的数量先增大后减小。包含节点数量较小的子集团数量占子集团总数量的大多数。子集团尺寸与相应数量在尺寸较小时近似成幂律关系。随机与蓄意删除节点时,随机网络与BA无标度网络产生子集团数量的最大值存在差异。
現實噹中的許多複雜網絡都無法避免地受到來自自然災害或人為的攻擊,從而導緻網絡破碎成很多大大小小的子集糰。計算隨機網絡和BA無標度網絡在隨機刪除節點與蓄意刪除節點兩種情況下產生的除最大連通圖外其他子集糰數量的情況。在產生的子集糰中,結果髮現它們特點是噹節點刪除比例f從0增大到1過程中,子集糰的數量先增大後減小。包含節點數量較小的子集糰數量佔子集糰總數量的大多數。子集糰呎吋與相應數量在呎吋較小時近似成冪律關繫。隨機與蓄意刪除節點時,隨機網絡與BA無標度網絡產生子集糰數量的最大值存在差異。
현실당중적허다복잡망락도무법피면지수도래자자연재해혹인위적공격,종이도치망락파쇄성흔다대대소소적자집단。계산수궤망락화BA무표도망락재수궤산제절점여축의산제절점량충정황하산생적제최대련통도외기타자집단수량적정황。재산생적자집단중,결과발현타문특점시당절점산제비례f종0증대도1과정중,자집단적수량선증대후감소。포함절점수량교소적자집단수량점자집단총수량적대다수。자집단척촌여상응수량재척촌교소시근사성멱률관계。수궤여축의산제절점시,수궤망락여BA무표도망락산생자집단수량적최대치존재차이。
Many complex networks are vulnerable to the attacks from natural disasters or human interference and are broken into many big and small sub-groups. This study addresses the num-ber of the sub-groups, with the exception of the largest connected cluster, produced by the ran-dom network and the BA scale-free network respectively in the cases of random and deliberate deletion of nodes. The result shows that, when the deletion percentage of nodes increases from 0 to 1, the number of sub-groups increases first and then decreases. The number of the sub-groups that contains a small number of nodes accounts for the majority of the total number of sub-groups. Sub-group size and its corresponding number approximate power-law relationship when the size is smaller. Differences between the max values of the sub-groups produced by the random network and the BA scale-free network are found when nodes are randomly and deliber-ately deleted.