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   ordering of trees by multiplicative second zagreb index  
   
نویسنده eliasi mehdi ,ghalavand ali
منبع transactions on combinatorics - 2016 - دوره : 5 - شماره : 1 - صفحه:49 -55
چکیده    ‎for a graph $g$ with edge set $e(g)$‎, ‎the multiplicative second zagreb index of $g$ is defined as‎ ‎$pi_2(g)=pi_{uvin e(g)}[d_g(u)d_g(v)]$‎, ‎where $d_g(v)$ is the degree of vertex $v$ in $g$‎. ‎in this paper‎, ‎we identify the eighth class of trees‎, ‎with the first through eighth smallest multiplicative second zagreb indeces among all trees of order $n geq 14$‎.
کلیدواژه multiplicative second zagreb index ,graph operation ,tree
آدرس iversity of isfahan, faculty of khansar, department of mathematics and computer science, faculty of khansar, university of isfahan, p o box 87931133111,department of mathematics and computer science, faculty of khansar, department of mathematics and computer science, ایران, university of isfahan, faculty of khansar, department of mathematics and computer science, faculty of khansar, university of isfahan, p o box 87931133111,department of mathematics and computer science, ایران
پست الکترونیکی ali797ghalavand@gmail.com
 
     
   
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