%0 Journal Article %1 li95 %A Li, Xueliang %A Gutman, Ivan %D 1995 %J Discrete Applied Mathematics %K algebraic.graph.theory characteristic derivative graph.theory matching polynomial sachs.theorem %N 3 %P 293--297 %R 10.1016/0166-218X(95)00121-7 %T A Unified Approach to the First Derivatives of Graph Polynomials %V 58 %X A general graph polynomial P(G, x) is introduced. It is proved that ddxP(G,x)= ∑v∈V(G) P(G−v,x). Special cases of this result are the previously reported first-derivative formulas for a number of graph polynomials: characteristic, matching, independence, clique polynomials, etc.

@article{li95, abstract = {A general graph polynomial P(G, x) is introduced. It is proved that ddxP(G,x)= ∑v∈V(G) P(G−v,x). Special cases of this result are the previously reported first-derivative formulas for a number of graph polynomials: characteristic, matching, independence, clique polynomials, etc. }, added-at = {2015-05-12T13:14:34.000+0200}, author = {Li, Xueliang and Gutman, Ivan}, biburl = {https://www.bibsonomy.org/bibtex/212d995db3cdeb5edfdc7428ce700f7c2/ytyoun}, doi = {10.1016/0166-218X(95)00121-7}, interhash = {b4f66b30507e87ee9da46001e743f125}, intrahash = {12d995db3cdeb5edfdc7428ce700f7c2}, issn = {0166-218X}, journal = {Discrete Applied Mathematics }, keywords = {algebraic.graph.theory characteristic derivative graph.theory matching polynomial sachs.theorem}, number = 3, pages = {293--297}, timestamp = {2016-12-03T05:31:42.000+0100}, title = {A Unified Approach to the First Derivatives of Graph Polynomials }, volume = 58, year = 1995 }