Results 61 to 70 of about 597 (229)
Total vertex irregularity strength of interval graphs
A labeling of a graph is a mapping that maps some set of graph elements to a set of numbers (usually positive integers). For a simple graph G = (V, E) with vertex set V and edge set E, a labeling ? : V ?E ? {1, 2, ..., k} is called total k-labeling. The associated vertex weight of a vertex x ? V (G) under a total k-labeling ? is defined as wt(x) = ?(x)+
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A new upper bound for the total vertex irregularity strength of graphs
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Anholcer, Marcin +2 more
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Recent Advances in Nano‐Microstructured Catalysts for Electrochemical Seawater Electrocatalysis
This review highlights advances in nano‐ and microstructured catalysts for electrochemical seawater conversion. It elucidates design principles, mechanistic understanding, and machine‐learning‐assisted discovery, and outlines key challenges and future opportunities toward efficient, selective, and durable seawater electrocatalysis.
Xiaodong Shao +5 more
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A novel convolutional neural network architecture enables rapid, unsupervised analysis of IR spectroscopic data from DRIFTS and IRRAS. By combining synthetic data generation with parallel convolutional layers and advanced regularization, the model accurately resolves spectral features of adsorbed CO, offering real‐time insights into ceria surface ...
Mehrdad Jalali +5 more
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On The Total Edge and Vertex Irregularity Strength of Some Graphs Obtained from Star
Let $G=(V(G),E(G))$ be a graph and $k$ be a positive integer. A total $k$-labeling of $G$ is a map $f: V(G)\cup E(G)\rightarrow \{1,2,\ldots,k \}$. The edge weight $uv$ under the labeling $f$ is denoted by $w_f(uv)$ and defined by $w_f(uv)=f(u)+f(uv)+f(v)$. The vertex weight $v$ under the labeling $f$ is denoted by $w_f(v)$ and defined by $w_f(v) = f(v)
Ramdani, Rismawati +2 more
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ABSTRACT This review article critically examines the environmental and health hazards of tannery sludge (TS), a complex by‐product of the leather tanning industry. TS is characterized by a diverse array of contaminants, including heavy metals like chromium, organic pollutants such as polycyclic aromatic hydrocarbons (PAHs), volatile organic compounds ...
Yashar Aryanfar +10 more
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On the Total Vertex Irregularity Strength of Cycle Related Graphs and H-Graphs
. The minimum k for which the graph G has a vertex irregular total k-labeling is called the total vertex irregularity strength of G and is denoted by tvs(G). In this paper we find the total vertex irregularity strength of cycle related graphs H(n), DHF(n), F(n,2) and obtain a bound for the total vertex irregularity strength of H graphs H(k).
V. Annamma +2 more
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A new musculoskeletal reconstruction and revision of the cranio‐mandibular anatomy of the Devonian arthrodire placoderm Dunkleosteus terrelli from a comparative and functional anatomical perspective. Dunkleosteus is a specialized arthrodire with many specializations for feeding on large vertebrates, and many of its features are part of broader ...
Russell K. Engelman +4 more
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We investigate a graph labeling called the total vertex irregularity strength (tvs(G)). A tvs(G) is minimum for which graph has a vertex irregular total -labeling. In this paper, we determine the total vertex irregularity strength of disjoint union of ladder rung graph and disjoint union of domino graph.
Nugroho Arif Sudibyo +2 more
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Abstract The middle Permian represents a critical interval in therapsid evolution, when gorgonopsians emerged as some of the first specialized apex predators within terrestrial ecosystems. Despite their significance, the early diversification of Gorgonopsia in Gondwana remains poorly understood due to scarcity and fragmentary material.
Zanildo Macungo +5 more
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