Results 41 to 50 of about 4,649,293 (309)

Randić Index of a Line Graph

open access: yesAxioms, 2022
The Randić index of a graph G, denoted by R(G), is defined as the sum of 1/d(u)d(v) for all edges uv of G, where d(u) denotes the degree of a vertex u in G. In this note, we show that R(L(T))>n4 for any tree T of order n≥3.
Jiangfu Zhang, Baoyindureng Wu
doaj   +1 more source

CMMSE 18: geometric-arithmetic index and line graph [PDF]

open access: yesJournal of Mathematical Chemistry, 2019
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index $$GA_1$$GA1 and characterize ...
D. Pestana, J. Sigarreta, E. Tourís
semanticscholar   +1 more source

Enteropathogenic E. coli shows delayed attachment and host response in human jejunum organoid‐derived monolayers compared to HeLa cells

open access: yesFEBS Letters, EarlyView.
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi   +5 more
wiley   +1 more source

Line graph embedding of co-intersection graph of ideals of commutative rings

open access: yesAKCE International Journal of Graphs and Combinatorics
This research paper focuses on the co-intersection graph of a commutative ring [Formula: see text]. The co-intersection graph of [Formula: see text] denoted by [Formula: see text] is a simple graph with vertices that are non-trivial ideals of [Formula ...
Ali Al Khabyah   +4 more
doaj   +1 more source

Characterization of Line-Consistent Signed Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2015
The line graph of a graph with signed edges carries vertex signs. A vertex-signed graph is consistent if every circle (cycle, circuit) has positive vertex-sign product. Acharya, Acharya, and Sinha recently characterized line-consistent signed graphs, i.e.
Slilaty Daniel C., Zaslavsky Thomas
doaj   +1 more source

The line completion number of hypercubes

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
In 1992, Bagga, Beineke, and Varma introduced the concept of the super line graph of index r of a graph G, denoted by ℒr(G). The vertices of ℒr(G)are the r-subsets of E(G), and two vertices S and T are adjacent if there exist s∈S and t∈T such that s and ...
S.A. Tapadia, B.N. Waphare
doaj   +1 more source

The study of line graphs of subdivision graphs of some rooted product graphs via K-Banhatti indices

open access: yesInternational Journal of Mathematics for Industry, 2023
The degree-based topological indices are numerical graph invariants that are used to link a molecule’s structural characteristics to its physical, and chemical characteristics.
K. J. Gowtham, N. Narahari
doaj   +1 more source

Plasmodium falciparum gametogenesis essential protein 1 (GEP1) is a transmission‐blocking target

open access: yesFEBS Letters, EarlyView.
This study shows Plasmodium falciparum GEP1 is vital for activating sexual stages of malarial parasites even independently of a mosquito factor. Knockout parasites completely fail gamete formation even when a phosphodiesterase inhibitor is added. Two single‐nucleotide polymorphisms (V241L and S263P) are found in 12%–20% of field samples.
Frederik Huppertz   +5 more
wiley   +1 more source

The Caenorhabditis elegans DPF‐3 and human DPP4 have tripeptidyl peptidase activity

open access: yesFEBS Letters, EarlyView.
The dipeptidyl peptidase IV (DPPIV) family comprises serine proteases classically defined by their ability to remove dipeptides from the N‐termini of substrates, a feature that gave the family its name. Here, we report the discovery of a previously unrecognized tripeptidyl peptidase activity in DPPIV family members from two different species.
Aditya Trivedi, Rajani Kanth Gudipati
wiley   +1 more source

A note on co-maximal graphs of commutative rings

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
doaj   +1 more source

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