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   M-Polynomial and Degree-Based Topological Indices  
نویسنده Klavžar Sandi ,Deutsch Emeric
منبع Iranian Journal Of Mathematical Chemistry - 2015 - دوره : 6 - شماره : 2 - صفحه:93 -102
چکیده    Let $g$ be a graph and let $m_{ij}(g)$, $i,jge 1$, be the number of edges $uv$ of $g$ such that ${d_v(g), d_u(g)} = {i,j}$. the {em $m$-polynomial} of $g$ is introduced with $displaystyle{m(g;x,y) = sum_{ile j} m_{ij}(g)x^iy^j}$. it is shown that degree-based topological indices can be routinely computed from the polynomial, thus reducing the problem of their determination in each particular case to the single problem of determining the $m$-polynomial. the new approach is also illustrated with examples.
کلیدواژه Degree-Based Topological Index ,Zagreb Index ,Randic Index ,Graph Polynomial
آدرس Institute Of Mathematics, Physics And Mechanics, Slovenia. University Of Ljubljana, Faculty Of Mathematics And Physics, Slovenia. University Of Maribor, Faculty Of Natural Sciences And Mathematics, Slovenia, Polytechnic Institute Of New York University, Usa

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