From the definition of the permanental sum of a graph, we have P S ( G ) = Z ( G ) + 2 s ( G ) + 4 t ( G ) , where s(G) denotes the number of all Sachs graphs containing the one cycle of G, and t(G) denotes the number of all Sachs graphs containing the two cycles of G.
Feb 13, 2020
Aug 15, 2018 · In this paper, we investigate properties of permanental sum of a graph, prove recursive formulas to compute the permanental sum of a graph, and ...
In this paper, we investi- gate properties of permanental sum of a graph, prove recursive formulas to compute the permanental sum of a graph, and show that the ...
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In this paper, we investigate properties of permanental sum of a graph, prove recursive formulas to compute the permanental sum of a graph, and show that the ...
Let G be a graph and A(G) the adjacency matrix of G. The polynomial π(G, x) = per(xI −. A(G)) is called the permanental polynomial of G, ...
Jul 6, 2021 · The permanental sum of a graph G [21], denoted by PS(G), is defined as the sum of the absolute values of all coefficients of the permanental ...
In this paper, we investigate properties of permanental sum of a graph, prove recursive formulas to compute the permanental sum of a graph, and show that the ...
Semantic Scholar extracted view of "On the permanental sum of graphs" by Tingzeng Wu et al.
Nov 23, 2023 · The permanental sum of G can be defined as the sum of absolute value of coefficients of \pi(G,x). Computing the permanental sum is \#P-complete.
In this paper, we investigate the permanental polynomial of a signed graph and obtain its coefficients in terms of the graph structure, and establish the ...