• Journal of applied mathematics & informatics
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• 제35권1_2호
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• pp.25-32
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• 2017

Let G be a graph and k is a positive integer. Hammack and Livesay in [The inner power of a graph, Ars Math. Contemp., 3 (2010), no. 2, 193-199] introduced a new graph operation $G^{(k)}$, called the $k^{th}$ inner power of G. In this paper, it is proved that if G is bipartite then $G^{(2)}$ has exactly three components such that one of them is bipartite and two others are isomorphic. As a consequence the edge frustration index of $G^{(2)}$ is computed based on the same values as for the original graph G. We also compute the first and second Zagreb indices and coindices of $G^{(2)}$.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제26권3호
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• pp.177-188
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• 2019

Suppose G is a molecular graph with edge set E(G). The hyper-Zagreb index of G is defined as $HM(G)={\sum}_{uv{\in}E(G)}[deg_G(u)+deg_G(v)]^2$, where $deg_G(u)$ is the degree of a vertex u in G. In this paper, all chemical trees of order $n{\geq}12$ with the first twenty smallest hyper-Zagreb index are characterized.

• 대한영양사협회학술지
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• 제10권3호
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• pp.322-332
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• 2004

The possibility that high, long-term intake of carbohydrates that are rapidly absorbed as glucose may increase the risk of type 2 diabetes has been long-standing controversy. A high consumption of carbohydrates with a high glycemic index produces greater insulin resistance than did the intake of low glycemic index carbohydrates. This study was designed to evaluate the cabohydrate intake status include glycemic index and correlation carbohydrtae intake status with anthropometry factors & other nutrients in usual diet of the Korean type 2 diabetes mellitus. In 104 tpye 2 diabetes mellitus patients(mean age : 51.8yr, male=44.femal=60), we determined carbohydrte intake status include glycemic index with 24hr recall method and measured anthropometry. Mean daily carbohydrtae intakes and glycemic index were 307.3g(male 323.1g, female 295.5g) and 90.7(male 93.4, female 88.8), respectively. We found a strong and statistically significant association between carbohydrate ratio and glycemic index in obese factors, other nutrient. But carbohydrate intake/kg of body weight was low a significant differences in obese factors, other nutrient. Also glycemic index was effected by total energy intake and carbohydrate ratio than carbohydrate intake/kg of body weight. In conclusion, emphasis for dietary modification should be total energy intake and carbohydrate ratio in diabetes mellitus patient.

• Korean Journal of Mathematics
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• 제27권3호
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• pp.613-627
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• 2019

Consider a connected molecular graph G = (V, E) where V is the set of vertices and E is the set of edges. In G, vertices represent the atoms and edges represent the covalent bonds between atoms. In graph G, every edge (say) e = uv will be connected by two atoms u and v. The edge Szeged index is a topological index which has been introduced by Ivan Gutman. In this paper, we have computed edge Szeged indices of a hydrocarbon family called Benzene ring and is denoted by $(BR)_{n{\times}n}$.

• Kyungpook Mathematical Journal
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• 제58권2호
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• pp.221-229
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• 2018

The first Zagreb eccentricity index $E_1(G)$ of a graph G is defined as the sum of squares of the eccentricities of the vertices. In this paper some bounds for the first Zagreb eccentricity index and first Zagreb degree eccentricity index are computed.

• Journal of applied mathematics & informatics
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• 제31권5_6호
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• pp.595-608
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• 2013

Let G = (V, E) be a simple connected graph. The sets of vertices and edges of G are denoted by V = V (G) and E = E(G), respectively. In such a simple molecular graph, vertices represent atoms and edges represent bonds. The distance between the vertices $u$ and $v$ in V (G) of graph G is the number of edges in a shortest path connecting them, we denote by $d(u,v)$. In graph theory, we have many invariant polynomials for a graph G. In this paper, we focus on the Schultz polynomial, Modified Schultz polynomial, Hosoya polynomial and their topological indices of a molecular graph circumcoronene series of benzenoid $H_k$ and specially third member from this family. $H_3$ is a basic member from the circumcoronene series of benzenoid and its conclusions are base calculations for the Schultz polynomial and Hosoya polynomial of the circumcoronene series of benzenoid $H_k$ ($k{\geq}3$).

• 한국도서관정보학회지
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• 제47권2호
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• pp.287-304
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• 2016

본 연구는 교수의 연구업적을 보다 다면적으로 측정하기 위한 합리적 방법을 고안하기 위하여 새로운 논문계량지표인 Quality Factor를 개발하였다. Quality Factor는 총 논문수, 피인용수, h-index, Impact Factor를 이용하여 수치를 도출한다. 새로 개발한 지표인 Quality Factor와 다양한 지표(논문 수, Impact Factor, 피인용수, h-index, g-index)간의 관계를 분석하기 위하여, 본 연구는 국내 문헌정보학과 교수 189명의 14년간(2001-2014)의 학술논문데이터를 바탕으로 그들의 지표별(논문 수, Impact Factor, 피인용수) 순위를 산출하고 지표들 간에 스피어만 순위상관관계를 도출하였다. 그 결과, Quality Factor는 전체적으로 피인용 수의 영향을 주로 받는 지표(피인용수, h-index, g-index)와 유사한 상관관계를 보였으나, 산점도에서 Quality Factor가 타 지표에 비하여 분산된 분포를 나타내면서 개별식별성이 높은 것으로 드러났으며 군집 분할 분석에서도 타 지표들과 상이한 상관관계를 보여주었다.

• Asian Pacific Journal of Cancer Prevention
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• 제14권5호
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• pp.2819-2822
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• 2013

In this study, antiproliferative effects of the selective estrogen receptor modulator Tamoxifen and the aromatase inhibitor letrozole (Femara) were evaluated and compared using the FM3A cell line, originating from a C3H mouse mammary carcinoma and positive in terms of estrogen receptor (ER) expression. Cell kinetic parameters including labelling index, mitotic index and labelling index were assessed after exposure of the. FM3A cell line to $0.001{\mu}g/ml$ of Tamoxifen and $0.25{\mu}g/ml$ of Femara for 4, 8, 16 and 32 h for all parameters. The results showed that cell growth was inhibited by both agents. There was a significant decrease in labelling index and mitotic index and significant increase in apoptotic index for all experimental groups. The differences between control and all experimental groups were statistically significant (p<0.001) for all applications.

• 한국의류산업학회지
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• 제1권3호
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• pp.275-279
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• 1999

The purpose of this study was to investigate a specific character on products of Korean cotton and American cotton with cultivated in sangju city, Korea. The results of this study were as follows: Productivity of American cotton was nine times higher than those of Korean cotton. Spinning coefficient index (SCI: 140), strength (32.6 g/tex), fiber length (1.12 inch), uniformity index (83.4%), short fiber index (6.4), color grade (21) of American cotton was superior than SCI (122), strength (27.7 g/tex), fiber length (1.02 inch), uniformity index(81.1 %), short fiber index (10.6), color grade (23) of Korean cotton. Microaire (3.5), elongation (6.9%) of Korean cotton was superior than American cotton.

• 대한수학회논문집
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• 제36권2호
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• pp.389-400
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• 2021

For a graph G, the variable sum exdeg index SEI_a(G) is defined as Σ_u∈V(G)d_G(u)a^d_G(u), where a ∈ (0, 1) ∪ (1, +∞). In this work, we determine the minimum and maximum variable sum exdeg indices (for a > 1) of n-vertex cactus graphs with k cycles or p pendant vertices. Furthermore, the corresponding extremal cactus graphs are characterized.