基于正则图的锥图的Q-谱确定性  

Q-spectral characterization of multicones over some regular graphs

作　　者：吴宝丰[1] 庞琳琳[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《华东师范大学学报（自然科学版）》2016年第6期139-144,172,共7页Journal of East China Normal University(Natural Science)

基　　金：国家自然科学基金(11301340;11201303);上海市自然科学基金(12ZR1420300);沪江基金(B14005)

摘　　要：研究了锥图G∨K_s的Q-谱确定性,其中G为n阶r-正则图,Ks为s阶完全图.证明了,对于任意正整数s,当r=n-2(n≥4)时,G∨K_s由其Q-谱确定;当r=n-3(n≥6)时,G∨K_s由其Q-谱确定当且仅当G的补图G不含三角形G_2.The Q-spectral characterization of the multicone graph G V K8 is investigated, where G is a r-regular graph of order n and/（8 is a complete graph of order s. We prove that for any positive integer s, the multicone graph G V Ks is determined by its Q-spectrum if r -- n - 2 and n≥ 4. We also show that for any positive integer s, if r = n - 3 and n 〉/6, the multicone graph G V K8 is determined by its Q-spectrum if and only if the complement of G has no triangles.

关 键 词：无符号拉普拉斯谱 Q-谱 锥图 谱确定性 

分 类 号：O157.5[理学—数学]