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QSAR analysis of drugs using graph based degree based topological indices and regression models. [PDF]
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FROM GRAPHS TO POLYNOMIAL RINGS: STAR POLYNOMIAL REPRESENTATION OF GRAPHS
Advances and Applications in Discrete Mathematics, 2023Let G be a simple connected graph. An i-subset of V(G) is a subset of V(G) of cardinality i. An induced i-star of G is a star in G induced by an i-subset of V(G). The star polynomial representation of G is the generating function of the sequence of the number of induced i-stars in G.
Artes, Rosalio G. jun. +3 more
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Bipartite graphs as polynomials and polynomials as bipartite graphs
Journal of Algebra and Its Applications, 2020The aim of this paper is to show that any finite undirected bipartite graph can be considered as a polynomial [Formula: see text], and any directed finite bipartite graph can be considered as a polynomial [Formula: see text], and vise verse. We also show that the multiplication in the semirings [Formula: see text], [Formula: see text] corresponds to an
Grinblat, Andrey, Lopatkin, Viktor
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Independence Polynomials of Bipartite Graphs
Bulletin of the Malaysian Mathematical Sciences Society, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Huihui, Hong, Xia
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Mathematics of the USSR-Sbornik, 1985
Translation from Mat. Sb., Nov. Ser. 123(165), No.3, 407-421 (Russian) (1984; Zbl 0548.05033).
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Translation from Mat. Sb., Nov. Ser. 123(165), No.3, 407-421 (Russian) (1984; Zbl 0548.05033).
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Graphs, ribbon graphs, and polynomials
2021AbstractIn this chapter we present some notions of graph theory that will be useful in the rest of the book. It is worth emphasizing that graph theorists and theoretical physicists adopt, unfortunately, different terminologies. We present here both terminologies, such that a sort of dictionary between these two communities can be established.
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Graph Problems: Polynomial Time
2012Algorithmic graph problems constitute approximately one third of the problems in this catalog. Problems from other sections could have been formulated equally well in terms of graphs, such as bandwidth minimization and finite-state automata optimization.
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Characteristic polynomials of oriented graphs
2023Summary: Graph energy is defined as the sum of the absolute values of all eigenvalues and it has important applications related to molecular graphs. Directed graphs play important role in some applications in social sciences and network studies. There are some studies on several aspects related to directed graphs.
CANGÜL, İSMAİL NACİ +3 more
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Polynomial invariants of graphs II
Graphs and Combinatorics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Negami, Seiya, Ota, Katsuhiro
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