Geodesic
On Mostar index of trees with parameters
Filomat, Tome 33 (2019) no. 19, p. 6453

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DOI

The Mostar index of a graph G is defined as the sum of absolute values of the differences between n u and n v over all edges uv of G, where n u and n v are respectively, the number of vertices of G lying closer to vertex u than to vertex v and the number of vertices of G lying closer to vertex v than to vertex u. We identify those trees with minimum and/or maximum Mostar index in the families of trees of order n with fixed parameters like the maximum degree, the diameter, number of pendent vertices by using graph transformations that decrease or increase the Mostar index
DOI : 10.2298/FIL1919453H
Classification : 05C12, 05C35
Keywords: Mostar index, trees, maximum degree, diameter, pendent vertices 
Fazal Hayat; Bo Zhou. On Mostar index of trees with parameters. Filomat, Tome 33 (2019) no. 19, p. 6453 . doi: 10.2298/FIL1919453H
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     author = {Fazal Hayat and Bo Zhou},
     title = {On {Mostar} index of trees with parameters},
     journal = {Filomat},
     pages = {6453 },
     year = {2019},
     volume = {33},
     number = {19},
     doi = {10.2298/FIL1919453H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL1919453H/}
}
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