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Coloring Mixed and Directional Interval Graphs
A mixed graph has a set of vertices, a set of undirected egdes, and a set of directed arcs. A proper coloring of a mixed graph $G$ is a function $c$ that assigns to each vertex in $G$ a positive integer such that, for each edge $uv$ in $G$, $c(u) \ne c(v)$ and, for each arc $uv$ in $G$, $c(u) < c(v)$. For a mixed graph $G$, the chromatic number $χ(G)
Grzegorz Gutowski +5 more
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On Mixed Metric Dimension of Rotationally Symmetric Graphs
A vertex u ∈ V(G) resolves (distinguish or recognize) two elements (vertices or edges) v, w ∈ E(G)UV(G) if dG(u, v) ≠ dG(u, w) . A subset Lm of vertices in a connected graph G is called a mixed metric generator for G if every two ...
Hassan Raza, Jia-Bao Liu, Shaojian Qu
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A new form of picture fuzzy graph has been identified and introduced here as Mixed Picture Fuzzy Graph(MPFG). The picture fuzzy set is made up of the fuzzy set and the intuitionistic fuzzy set. It is helpful when there are multiple options, such as yes, no, rejection and abstain.
Myithili, K.K., Nandhini, Chandrasekar
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A Concise Study of Some Superhypergraph classes [PDF]
In graph theory, the hypergraph extends the traditional graph structure by allowing edges to connect multiple vertices, and this concept is further broadened by the superhypergraph.
Florentin Smarandache, Takaaki Fujita
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Integral Mixed Unit Interval Graphs
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le, Van Bang, Rautenbach, Dieter
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Plasmodium falciparum gametogenesis essential protein 1 (GEP1) is a transmission‐blocking target
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
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
m-step inverse fuzzy mixed competition graphs
The notion of competition graphs has a wide range of applications and has been utilized in designing various ecological problems and real-world competitions.
Rahul Mondal, Ganesh Ghorai
doaj +1 more source
$\mathcal{B}$-Partitions, determinant and permanent of graphs [PDF]
Let $G$ be a graph (directed or undirected) having $k$ number of blocks $B_1, B_2,\hdots,B_k$. A $\mathcal{B}$-partition of $G$ is a partition consists of $k$ vertex-disjoint subgraph $(\hat{B_1},\hat{B_1},\hdots,\hat{B_k})$ such that $\hat{B}_i$ is an ...
Ranveer Singh, Ravindra Bapat
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Uniform Mixing on Cayley Graphs
We provide new examples of Cayley graphs on which the quantum walks reach uniform mixing. Our first result is a complete characterization of all $2(d+2)$-regular Cayley graphs over $\mathbb{Z}_3^d$ that admit uniform mixing at time $2\pi/9$. Our second result shows that for every integer $k\ge 3$, we can construct Cayley graphs over $\mathbb{Z}_q^d ...
Godsil, Chris, Zhan, Hanmeng
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