Mathematics – Combinatorics
Scientific paper
2003-04-15
Mathematics
Combinatorics
Scientific paper
As an instance of the B-polynomial, the circuit, or cycle, polynomial P(G(Gamma); w) of the generalized rooted product G(Gamma) of graphs was studied by Farrell and Rosenfeld ({\em Jour. Math. Sci. (India)}, 2000, \textbf{11}(1), 35--47) and Rosenfeld and Diudea ({\em Internet Electron. J. Mol. Des.}, 2002, \textbf{1}(3), 142--156). In both cases, the rooted product G(Gamma) was considered without any restrictions on graphs G and Gamma. Herein, we present a new general result and its corollaries concerning the case when the core graph G is restricted to be bipartite. The last instance of G(Gamma), as well as all its predecessors, can find chemical applications.
No associations
LandOfFree
The Circuit Polynomial of the Restricted Rooted Product G(Gamma) of Graphs with a Bipartite Core G does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Circuit Polynomial of the Restricted Rooted Product G(Gamma) of Graphs with a Bipartite Core G, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Circuit Polynomial of the Restricted Rooted Product G(Gamma) of Graphs with a Bipartite Core G will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-478229