Edge weights

Ivanduc, 0., Ivanciuc, T., Balahan, A. T. Vertex- and edge-weighted molecular graphs and derived structural descriptors. In Topological Indices and Related Descriptors in QSAR and QSPR, Devillers, J. Balahan, A. T. (eds.), Gordon ... 

Here b and bs are the edge weights for the direct and reverse steps and x ... 

Spanning tree weights are equal to the product of its constituent edge weights. Let us determine the weights for the spanning trees entering into different nodes. 

Edge weights are obtained if the reaction (both direct and reverse) rates corresponding to the graph edges are divided by the concentrations of the reacting intermediates... 

Simple graph Node weighted graph Node edge weighted graph... 

Therefore, searching for some edge-weighted maximal common subgraph for the two complete graphs is equivalent to searching for a clique [58] in this... 

Sikishu Kozogami Mare paper was pasted out with methylcellulose and applied to the back of the tapa. The backed tapa was placed face up on blotter paper and the edges weighted to provide tension until the backing was dry. A small amount of moisture from the adhesive was evident on the blotters, but did not come through to the face of the tapa. 

The Hosoya Z index for an edge-weighted graph G takes into account the edge weights Wb defining the non-adjacent numbers a G, k) as ... 

In practice, prime ID numbers are calculated by substituting the edge connectivity of the CID numbers with a different edge weight based on the first nine prime numbers. 

The weight Wy is calculated by multiplying the edge weights of all edges (bonds) of the path " p,y ... 

Matrices derived from vertex- and edge-weighted graphs representing molecules containing heteroatoms and/or multiple bonds. 

When no heteroatoms are present in the bond, the weight simply reduces to the conventional bond order. Note that in the case of elements lying to the left of carbon in the second quantum level of the periodic table the edge weights can be zero or negative. 

The same method based on the bond contribution w for the Wiener index calculation was proposed by Pisanski-Zerovnik [Pisanski and Zerovnik, 1994] together with a more general edge weight iv based on paths, defined as ... 

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