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- W2338023062 abstract "Parking functions are well researched and interesting results are found in the listed references and more. Some introductory results stemming from application to degree sequences of simple connected graphs are provided in this paper. Amongst others, the result namely, that a derivative degree sequence, $d_d(G) in Bbb D_d(G)= {(lceilfrac{d(v_1}{ell}rceil, lceilfrac{d(v_2)}{ell}rceil, lceilfrac{d(v_3)}{ell}rceil, ..., lceilfrac{d(v_n)}{ell}rceil| ell = d(v_i), forall i,$ with $d(v_i)geq 2},$ of a simple connected graph $G$ is a parking function, is presented. We also introduce the concept of emph{looping degree sequences} and the emph{looping number}, $xi(G)$. Four open problems are proposed as well." @default.
- W2338023062 created "2016-06-24" @default.
- W2338023062 creator A5013611993 @default.
- W2338023062 date "2014-09-15" @default.
- W2338023062 modified "2023-09-27" @default.
- W2338023062 title "The Derivative Degree Sequences of Finite Simple Connected Graphs are Parking Functions" @default.
- W2338023062 hasPublicationYear "2014" @default.
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