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A note on vertex pair sum $k$-zero ring labeling
Antony Sanoj Jerome,K.R. Santhosh Kumar,T.J. Rajesh Kumar 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.2
Let $G=(V,E)$ be a graph with $p$-vertices and $q$-edges and let $R^{\circ}$ be a finite zero ring of order $n$. An injective function $f:V(G)\to \{r_1,r_2,\ldots,r_k\}$, where $r_i\in R^\circ$ is called vertex pair sum $k$-zero ring labeling, if it is possible to label the vertices $x\in V$ with distinct labels from $R^{\circ}$ such that each edge $e=uv$ is labeled with $f(e=uv)=[f(u)+f(v)] \pmod n$ and the edge labels are distinct. A graph admits such labeling is called vertex pair sum $k$-zero ring graph. The minimum value of positive integer $k$ for a graph $G$ which admits a vertex pair sum $k$-zero ring labeling is called the vertex pair sum $k$-zero ring index denoted by $\psi_{pz}(G)$. In this paper, we defined the vertex pair sum $k$-zero ring labeling and applied to some graphs.
Duotrigintic functional equation and its stability in Banach spaces
Antony Raj Aruldass,Divyakumari Pachaiyappan,이정례 강원경기수학회 2020 한국수학논문집 Vol.28 No.3
In this paper, we introduce a duotrigintic functional equation. Furthermore, we study the Hyers-Ulam stability of a duotrigintic functional equation in Banach spaces by using the direct method.
Antony Otinga Oteng’o,Jose Avila-Peltroche,So Young Jeong,Boo Yeon Won,Tae Oh Cho 한국환경생물학회 2018 환경생물 : 환경생물학회지 Vol.36 No.3
Acinetospora asiatica and Botrytella reinboldii are reported as two new records from S. Korea based on morphological studies and molecular analyses. A. asiatica is mainly characterized by the presence of sparsely branched uniseriate filaments with diffused meristematic zones, the formation of crampons at right angles, and the formation of plurilocular sporangia on both prostrate and erect filaments. B. reinboldii is characterized by the presence of irregularly alternating branched uniseriate filaments attached by rhizoids, and single or clustered plurilocular sporangia with a single opening. Molecular analyses of rbcL gene revealed that A. asiatica and B. reinboldii are placed within each clade of Acinetospora and Botrytella, respectively.
Antony, Ananth,Young Sun, Mok,Jin-Hyo, Boo,Byung You, Hong Elsevier 2018 Journal of solid state chemistry Vol.265 No.-
<P><B>Abstract</B></P> <P>This research deals with preparation, characterization and shape dependent performance of copper oxide nanomaterials (CuO NMs) in simple carbon monoxide (CO) oxidation catalysis. Uniform and high purity rice grains-like, needle-like and sheet-like CuO NMs were achieved by adopting different experimental conditions. The shape selective CuO NMs were physically mixed and re-pelletized with γ-Al<SUB>2</SUB>O<SUB>3</SUB> thus 1 wt% CuO/γ-Al<SUB>2</SUB>O<SUB>3</SUB> catalyst was prepared. The catalysts exhibited good surface area (186–190 m<SUP>2</SUP> g<SUP>−1</SUP>), crystallinity, thermal stability and metal dispersion. The performance of various shape CuO/γ-Al<SUB>2</SUB>O<SUB>3</SUB> catalysts in CO oxidation catalysis showed that needle-like CuO NMs performed superior against grains-like or sheet like CuO NMs in the temperature region between 200 and 225 °C. The 100% CO<SUB>2</SUB> formation was achieved at 325 and 400 °C in the dry and wet conditions. Also, in every process temperature, differences in the catalytic activity due to catalyst's shape could be noted significantly. It was observed that the catalyst morphology played main role in achieving efficient catalytic process.</P> <P><B>Highlights</B></P> <P> <UL> <LI> Shape-selective preparation of CuO nanostructures. </LI> <LI> Physicochemical characterizations. </LI> <LI> Shape dependent catalytic CO oxidation performance. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>This research deals with the preparation, characterization and shape dependent performance of copper oxide nanomaterials (CuO NMs) in simple carbon monoxide (CO) oxidation catalysis. Uniform and high purity rice grains-like, needle-like and sheet-like CuO NMs were achieved by adopting different experimental conditions. The performance of various shape CuO/γ-Al<SUB>2</SUB>O<SUB>3</SUB> catalysts in CO oxidation catalysis showed that needle-like CuO NMs performed superior against grains-like or sheet like CuO NMs in the temperature region between 200 and 225 °C. In every process temperature, differences in the catalytic activity due to catalyst's shape could be noted significantly.</P> <P>[DISPLAY OMISSION]</P>
Antony Otinga Oteng'o,Jose Avila-Peltroche,최광철,조태오,원부연 한국환경생물학회 2020 환경생물 : 환경생물학회지 Vol.38 No.3
The genus Petroderma never been reported from the coast of Korea. In this study, our collection from Chaeseokang is matched with P. maculiforme morphologically. Petroderma maculiforme is characterized by having small irregular light to dark brown crusts, a basal layer of irregularly shaped cells giving rise to erect parallel filaments which easily separate with pressure, single chromatophore per cell, small spherical to cylindrical unilocular sporangia in a terminal position, and plurilocular sporangia narrower than erect filaments or wider and shorter than erect filaments in a terminal position. In addition, Hineksia sordida was also collected from Korea. It is mostly epiphytic and characterized by uniseriate filamentous thalli forming loose tangled masses, sparse and spiral branching, some long lateral branches, rhizoids occurring throughout the plant, plurilocular and unilocular sporangia scattered on separate plants. Our molecular analyses based on the rbcL gene reveal that our samples of P. maculiforme and H. sordida are nested within the clades of Petroderma and Hincksia, respectively. Therefore P. maculiforme and H. sordida are reported as new records from Korea based on morphological and molecular analyses.
Antony Otinga Oteng’o,Tae Oh Cho,원부연 한국조류학회I 2021 ALGAE Vol.36 No.3
The crustose brown algal genus Endoplura has been known as a monotypic genus characterized by its intercalary plurangial reproductive structures composed of 2–4 separate parallel filaments terminated by 2–5 sterile cells and by containing several to many chloroplasts per cell. In this study, Endoplura jejuensis sp. nov. and E. koreana sp. nov. from Korea are newly described based on molecular and morphological analyses. Our phylogenetic analyses of the rbcL gene reveal that E. jejuensis sp. nov. and E. koreana sp. nov. are placed in the same clade with “E. aurea” from Japan with a strong bootstrap supporting value. E. jejuensis is characterized by small and light to dark brown crustose thalli of less than 1 cm diameter, tufts of hairs arising from the basal disc, plurangia composed mostly of two separate parallel reproductive filaments terminated by 2–4 sterile cells, and sessile unangia each with a single paraphysis. E. koreana is distinguished by olive or yellowish-brown crustose thalli of up to 3 cm diameter, tufts of hairs arising from the basal disc, and apical parts of erect filaments, plurangia with 2–5 separate reproductive filaments terminated by 2–8 sterile cells, and sessile unangia with 1–2 paraphyses. Our studies also show that “E. aurea” specimens from Japan may be recognized to be a different species from other Endoplura species.