Applying the Kirchhoff Relations in Proofs of Theorems on Graph Operations that Do Not Affect the Structure of the Sandpile Groups of Graphs
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DOI: 10.1007/s10958-017-3414-4
Abstract: New proofs of theorems on graph operations that do not affect the structure of the sandpile groups of graphs are suggested. The proofs are based on the isomorphism between the sandpile group and the Kirchhoff… read more here.
Keywords: theorems graph; affect structure; operations affect; structure sandpile ... See more keywords
Stress Centrality of Some Graph Operations
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DOI: 10.1142/s1793557125501463
Abstract: Centrality measures are the tools used in most of the network analysis to rank the vertices of the network. Depending on different perspectives, many important centrality measures are defined and used for network analysis. Stress… read more here.
Keywords: centrality graph; centrality; graph operations; network ... See more keywords
Harary and hyper-Wiener indices of some graph operations
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DOI: 10.1186/s13660-024-03112-6
Abstract: In this paper, we obtain the Harary index and the hyper-Wiener index of the H-generalized join of graphs and the generalized corona product of graphs. As a consequence, we deduce some of the results in… read more here.
Keywords: hyper wiener; harary hyper; graph operations; wiener indices ... See more keywords
f-Polynomial on Some Graph Operations
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DOI: 10.3390/math7111074
Abstract: Given any function f : Z + → R + , let us define the f-index I f ( G ) = ∑ u ∈ V ( G ) f ( d u ) and… read more here.
Keywords: graph; graph operations; polynomial graph;