Geodesic
Vertex Degree Sequences of Graphs With Small Number of Circuits
Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 7 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Necessary and sufficient conditions are determined for the numbers $p_1,p_2,\ldots,p_n$ to be the vertex degrees of a connected graph with $n$ vertices and cyclomatic number $c$, $c=0,1,2,3,4,5$.
Classification : 05C75 
@article{PIM_1989_N_S_46_60_a1,
     author = {Ivan Gutman},
     title = {Vertex {Degree} {Sequences} of {Graphs} {With} {Small} {Number} of {Circuits}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {7 },
     year = {1989},
     volume = {_N_S_46},
     number = {60},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a1/}
}
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Ivan Gutman. Vertex Degree Sequences of Graphs With Small Number of Circuits. Publications de l'Institut Mathématique, _N_S_46 (1989) no. 60, p. 7 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_46_60_a1/