Results 51 to 60 of about 828 (207)

On the inverse mostar index problem for molecular graphs [PDF]

open access: yesTransactions on Combinatorics
Mostar indices are recently proposed distance-based graph invariants, that already have been much investigated and found applications. In this paper, we investigate the inverse problem for Mostar indices of unicyclic and bicyclic molecular graphs.
Liju Alex, Ivan Gutman
doaj   +1 more source

Introducing New Exponential Zagreb Indices for Graphs

open access: yesJournal of Mathematics, 2021
New graph invariants, named exponential Zagreb indices, are introduced for more than one type of Zagreb index. After that, in terms of exponential Zagreb indices, lists on equality results over special graphs are presented as well as some new bounds on ...
Nihat Akgunes, Busra Aydin
doaj   +1 more source

The Laplacian spread of unicyclic graphs

open access: yesApplied Mathematics Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan-Hong Bao   +2 more
openaire   +1 more source

Identifying the Exact Value of the Metric Dimension and Edge Dimension of Unicyclic Graphs

open access: yesMathematics, 2022
Given a simple connected graph G, the metric dimension dim(G) (and edge metric dimension edim(G)) is defined as the cardinality of a smallest vertex subset S⊆V(G) for which every two distinct vertices (and edges) in G have distinct distances to a vertex ...
Enqiang Zhu   +2 more
doaj   +1 more source

On The Packing k-Coloring of Unicyclic Graph Family [PDF]

open access: yes, 2020
All graph in this paper is connected graph. Let du,v be a distance between any vertex u and v in graph GV,E. A function c :VG 1, 2, , k is called a packing k coloring if every two vertex of color i are at least distance i 1.
KRISTIANA, Arika Indah   +2 more
core  

Smarandachely t-path step signed graphs [PDF]

open access: yes, 2010
Characterizing signed graphs which are switching equivalent to their Smarandachely 3-path step signed ...
Reddy, Siva Kota   +5 more
core   +1 more source

Maximum and minimum values of inverse degree and forgotten indices on the class of all unicyclic graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
For a connected simple graph G, the inverse degree index and forgotten index are defined as [Formula: see text] and [Formula: see text] respectively, where [Formula: see text] denotes the degree of vertex u in G.
Mohammad Ali Manian   +2 more
doaj   +1 more source

Unicyclic graphs with equal Laplacian energy [PDF]

open access: yesLinear and Multilinear Algebra, 2013
11 pages, 11 figures, slightly modified version of Theorem 1 when compared with original ...
Eliseu Fritscher   +2 more
openaire   +2 more sources

On Minimum Wiener Polarity Index of Unicyclic Graphs with Prescribed Maximum Degree

open access: yesJournal of Applied Mathematics, 2014
The Wiener polarity index of a connected graph G is defined as the number of its pairs of vertices that are at distance three. By introducing some graph transformations, in different way with that of Huang et al., 2013, we determine the minimum Wiener ...
Jianping Ou, Xing Feng, Saihua Liu
doaj   +1 more source

A note on distance matrices with unicyclic graph realizations

open access: yes, 1987
We give necessary and sufficient conditions for a distance matrix to have a unicyclic graph as unique optimal graph ...
Simões-Pereira, J.M.S
core   +1 more source

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