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   degree distance and gutman index of increasing trees  
   
نویسنده kazemi ramin ,khaleghi meimondari leila
منبع transactions on combinatorics - 2016 - دوره : 5 - شماره : 2 - صفحه:23 -31
چکیده    The gutman index and degree distance of a connected graph gg are defined as‎ ‎‎‎gut(g)=∑{u,v}⊆v(g)d(u)d(v)dg(u,v)‎,‎‎ ‎and‎ ‎‎‎dd(g)=∑{u,v}⊆v(g)(d(u)+d(v))dg(u,v)‎,‎‎ ‎respectively‎, ‎where‎ ‎d(u) is the degree of vertex uu and dg(u,v) is the distance between vertices u and v‎. ‎in this paper‎, ‎through a recurrence equation for the wiener index‎, ‎we study the first two‎ ‎moments of the gutman index and degree distance of increasing‎ ‎trees‎.‎
کلیدواژه ‎‎increasing trees‎; the wiener index‎; ‎the gutman index‎; ‎degree distance
آدرس imam khomeini international university, department of statistics, ایران, imam khomeini international university, department of statistics, ایران
پست الکترونیکی le.khaleghi@gmail.com
 
     
   
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