• Korean Journal of Mathematics
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• 제20권2호
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• pp.247-254
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• 2012

The Klee-Quaife problem is finding the minimum order ${\mu}(d,c,v)$ of the $(d,c,v)$ graph, which is a $c$-vertex connected $v$-regular graph with diameter $d$. Many authors contributed finding ${\mu}(d,c,v)$ and they also enumerated and classied the graphs in several cases. This problem is naturally extended to the case of digraphs. So we are interested in the extended Klee-Quaife problem. In this paper, we deal with an equivalent problem, finding the maximum diameter of digraphs with given order, focused on 2-regular case. We show that the maximum diameter of strongly connected 2-regular digraphs with order $n$ is $n-3$, and classify the digraphs which have diameter $n-3$. All 15 nonisomorphic extremal digraphs are listed.

• Kyungpook Mathematical Journal
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• 제61권3호
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• pp.671-677
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• 2021

For a distance-regular graph with valency k, second largest eigenvalue r and diameter D, it is known that r ≥ $min\{\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2},\;a_3\}$ if D = 3 and r ≥ $\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2}$ if D ≥ 4, where λ = a₁. This result can be generalized to the class of edge-regular graphs. For an edge-regular graph with parameters (v, k, λ) and diameter D ≥ 4, we compare $\frac{{\lambda}+\sqrt{{\lambda}^2+4k}}{2}$ with the local valency λ to find a relationship between the second largest eigenvalue and the local valency. For an edge-regular graph with diameter 3, we look at the number $\frac{{\lambda}-\bar{\mu}+\sqrt{({\lambda}-\bar{\mu})^2+4(k-\bar{\mu})}}{2}$, where $\bar{\mu}=\frac{k(k-1-{\lambda})}{v-k-1}$, and compare this number with the local valency λ to give a relationship between the second largest eigenvalue and the local valency. Also, we apply these relationships to distance-regular graphs.

• Journal of the Korean Association of Oral and Maxillofacial Surgeons
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• 제35권5호
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• pp.335-339
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• 2009

The purpose of this study was to evaluate clinical and radiographic changes of regular diameter implants placed in the posterior region. A total of 47 standard diameter implants were consecutively placed in the posterior region of 20 partially edentulous patients. The diameters of the implants were 4.1mm (N=35, 74%) and 4.3mm (N=12, 26%), respectively. Peri-implant bone loss and clinical parameters such as mobility, suppuration, swelling, bleeding on probing (BOP) were evaluated at the baseline and?the final follow-up visit. The age of the patients ranged between 24~82 years (mean age: 54.7 years). The cumulative survival rate of the regular diameter implants loaded for a period of 3-24 months (Mean: $11.7{\pm}7.9$ month) was 100%. The average bone loss over the follow-up was $0.36{\pm}0.67\;mm$. Success rate was 95.7%. Only two implants failed (bone loss exceeding 1mm after 1 year of placement). Some prosthetic complications occurred, such as screw loosening (N=1) and dissolution of cementation material (N=2). The present study describes successful outcome following the use of standard-diameter-implants placed in the posterior region, and further comprehensive maintenance practices and follow-up schedules are required.

• 대한치과의사협회지
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• 제53권9호
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• pp.644-655
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• 2015

Purpose: This study was conducted to evaluate the effect of the fixture abutment connection type and diameter on the screw joint stability in external butt joint for 2nd surgery and internal cone connected type implant system for 1st and 2nd surgery using ultimate fracture strength. Materials and Methods: USII system, SSII system and GSII system of Osstem Implant were used. Each system used the fixture with two different diameters and cement-retained abutments, and tungsten carbide / carbon coated abutment screws were used. Disc shaped stainless steel metal tube was attached using resin-based temporary cement. The experimental group was divided into seven subgroups, including the platform switching shaped specimen that uses a regular abutment in the fixture with a wide diameter in USII system. A static load was increased to the metal tube at 5mm deviated point from the implant central axis until it reached the compression bending strength at a rate of 1mm/min. Then the deformations and patterns of fracture in threaded connection were compared. Results and Conclusion: 1. In the comparison between the Regular diameter, compression bending strength of SSII system was higher than USII system and GSII system. There was no significant difference between USII system and GSII system. 2. In the comparison between wide diameter, compression bending strength was increased in the order of GSII system, USII system, and SSII system. 3. In comparison between the implant diameter, compression bending strength of the wide diameter was greater than the regular diameter in any system(P<0.05). 4. There was no significant difference between the platform switching (III group) and the regular diameter (I group) in USII system. 5. In USII system, fracture of abutment screw and deformation of both fixture and abutment were observed in I, II and III subgroups. 6. Failure pattern of SSII system, which was the fracture of abutment screw and deformation of the abutment and fixture, was observed in both IV and V subgroups. Fracture of some fixtures was observed in subgroup V. 7. Failure pattern of GSII system, which was the fracture of the abutment screw and deformation of the fixture and the abutment, was observed in both VI and VII subgroups. Apart from other subgroups, subgroup VII demonstrated no bending neither the fracture at the top of the fixture. The compressive deformation of internal slope in the fixture was the only thing observed in subgroup VII.

• 구강회복응용과학지
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• 제25권4호
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• pp.349-360
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• 2009

목적: 임플란트 보철 수복에서 심미적 요구도가 증진되면서 최근에는 고강도, 고인성을 지니면서 생체적합성 우수하고 치아의 색과 조화로운 지르코니아 지대주의 사용이 증가하는 추세이다. 몇몇 임상보고를 통해 지르코니아 지대주의 우수한 주위조직 반응과 단기간의 성공적인 결과가 보고 되었으나, 장기간의 안정성을 평가하는 기계적 강도에 관한 연구는 미흡한 실정이다. 이에 본 연구에서는 직경, 각도, 연결방식이 상이한 임플란트 고정체 - 지르코니아 지대주의 단순 파절강도와 반복하중에 의한 피로한계 측정을 통해 지르코니아 지대주의 기계적 안정성을 평가해 보고자 하였다. 재료와 방법: ISO규정에 따라 지르코니아 지대주-고정체를 변연골이 3mm 흡수된 조건에서 $30^{\circ}$경사하중으로 압축굽힘강도를 측정하고, 그 값의 80%를 최대하중으로 10%를 최소하중으로 하여 10Hz의 sine형 반복하중을 $5{\times}10^6$ 주기를 초과하는 조건의 내구성한계를 측정하였다. 지르코니아 지대주로는 regular diameter를 가지면서 external butt joint의 straight 지대주와 $17^{\circ}$ angled 지대주, 그리고 narrow diameter 이면서 external butt joint의 straight 지대주와 internal conical joint의 straight 지대주를 사용하였다. 압축굽힘강도 값을 일원분산분석과 사후검정으로 검증하였으며, 피로파절면을 전자주사현미경을 통해 관찰했다. 결과: 압축굽힘강도는 최소 927N 이상으로, 직경의 차이에 따른 유의한 차이를 보였으며( P<.05), 내구성 한계는 503N에서 868N까지의 번위를 보였다. 결론: 지르코니아 지대주는 구강내 기능하중을 견딜수 있는 적절한 기계적 강도를 가지는 것으로 판단된다.

• 한국식생활문화학회지
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• 제21권6호
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• pp.679-684
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• 2006

In this experiment, I used three samples of oils. The oils that I used were hydrated soybean oil, pure soybean oil and regular soybean oil. The group of rice was fried in the each sample of oil that had not been used for a few seconds. Rice was used after frying at 230-235$^{\circ}C$ every four hours terms and total frying hours was 12 hours. The hydrated soybean oils was least affected in rancidity. The other two oils were more affected in rancidity than the hydrated soybean oil. However, the trans fatty acid in hydrated soybean oil was 36.5%. The diameter of the poped rice that was fried in pure soybean oil and regular soybean oil that had been used 12 for hours was reduced while the diameter of the popped rice fried in the hydrated soybean oil was not reduced. Also, the groups of rice fried in the pure and the regular soybean oil that had been used for 12 hours reduced the hardness in rice while the group that fried in the hydrated soybean oil at the 12th hour kept the hardness well. In sensory evaluation, rancidity order was found apparently in the pure soybean oil that had been used for 12 hour and in the regular soybean oil that have been used for eight hours and 12 hours. Only the hydrated soybean oil did not have distinctive rancidity order at all. The degree of the crispiness was reduced in the pure soybean oil and in the regular soybean oil at 12th hour frying. However, the hydrated soybean oil preserved the crispiness well until the end of 12 hours of frying. In overall preference test, the pure and regular soybean oil that had been used for 12 hour were not preferable. In conclusion, I found that the group fried in the hydrated soybean oil was better in every evaluation than the groups fried in the pure soybean oil and in regular soybean oil. The hydrated Soybean oil may be better to be used in food manufacturing if the trans fatty acid in the hydrated soybean oil can be reduced.

• The Journal of Advanced Prosthodontics
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• 제6권2호
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• pp.126-132
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• 2014

PURPOSE. This study was conducted to evaluate the influence of the implant-abutment connection design and diameter on the screw joint stability. MATERIALS AND METHODS. Regular and wide-diameter implant systems with three different joint connection designs: an external butt joint, a one-stage internal cone, and a two-stage internal cone were divided into seven groups (n=5, in each group). The initial removal torque values of the abutment screw were measured with a digital torque gauge. The postload removal torque values were measured after 100,000 cycles of a 150 N and a 10 Hz cyclic load had been applied. Subsequently, the rates of the initial and postload removal torque losses were calculated to evaluate the effect of the joint connection design and diameter on the screw joint stability. Each group was compared using Kruskal-Wallis test and Mann-Whitney U test as post-hoc test (${\alpha}$=0.05). RESULTS. The postload removal torque value was high in the following order with regard to magnitude: two-stage internal cone, one-stage internal cone, and external butt joint systems. In the regular-diameter group, the external butt joint and one-stage internal cone systems showed lower postload removal torque loss rates than the two-stage internal cone system. In the wide-diameter group, the external butt joint system showed a lower loss rate than the one-stage internal cone and two-stage internal cone systems. In the two-stage internal cone system, the wide-diameter group showed a significantly lower loss rate than the regular-diameter group (P<.05). CONCLUSION. The results of this study showed that the external butt joint was more advantageous than the internal cone in terms of the postload removal torque loss. For the difference in the implant diameter, a wide diameter was more advantageous in terms of the torque loss rate.

• 한국정보과학회논문지:시스템및이론
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• 제34권5_6호
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• pp.176-186
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• 2007

상호연결망은 그래프로 모델링 할 수 있다: 노드는 정점으로 대응시키고, 링크는 에지로 대응시킨다. 상호연결망(그래프)의 지름은 서로 다른 모든 두 정점 사이의 최단경로 길이 중 최대이다. 상호연결망의 고장지름이란 연결도-1 개 이하의 임의의 정점에 고장이 있을 경우, 이들 고장 정점들을 제거한 연결망에서 모든 두 정점사이의 최단경로 길이 중 최대이다. 지름이 3이상이고 연결도가 r인 r-정규(regular) 그래프의 고장지름은 지름+1이상이다. 이 논문에서는 $m,n{\geq}3$ 인 2-차원 $m{\times}n$ 토러스에서 m=3 혹은 n=3일 때 고장지름은 max(m,n)이고, m,n>3일 때 고장지름은 지름 +1임을 보인다. 그리고 $k_i{\geq}3(1{\leq}i{\leq}d)$이고 $d{\geq}3$인 d- 차원 $k_1{\times}k_2{\times}{\cdots}{\times}k_d$ 토러스에서 서로 다른 임의의 두 정점 사이에 길이가 지름+1이하인 서로소인 경로들이 2d 개 존재함을 보인다. 두 정점 u와 v 사이의 서로소인 경로들이란, 공통의 정점들이 u와 v만 있는 경로들을 말한다. 이들 서로소인 경로들을 이용하여 $k_i{\geq}3(1{\leq}i{\leq}d)$이고 $d{\geq}3$인 d-차원 $k_1{\times}k_2{\times}{\cdots}{\times}k_d$ 토러스의 고장지름이 지름+1임을 보인다.

• 한국수학사학회지
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• 제14권1호
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• pp.17-26
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• 2001

Ri, Sang-Hyeok(1810-\ulcorner) explained in detail and repeatedly solution of problems which find the area and diameter of inscribed and circumscribed circles of regular polygons from a side and find a side of regular polygons from the area of the book Su-Ri-Jeong-On in the chapter ‘Gak-Deung-Byeon-Hyeong-Seup-Yu’ of his book San-Sul-Gwan-Kyeun. The explanation of each question describes the procedure to make the equation in detail, but only presents the solution with few step to solve.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2001년도 봄 학술발표회 논문집
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• pp.291-298
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• 2001

It is very difficult to accomplish load tests of piles with large diameter constructed on the offshore area, because of requirement for large scaled loading equipment and bad testing conditions. Therefore, so far in many cases pile driving dynamic formulas have applied to quality control, and recently dynamic load test method is widely used for confirming bearing capacities of such piles. However, in cases of piles with very large diameter about 2,500mm, it is nearly impossible for regular type load test methods of piles such as static and dynamic to apply owing to very large design load. This is case studies of load tests such as modified static and dynamic load tests of piles and point load tests of rock samples for estimating rational allowable bearing capacity of very large diameter piles constructed on the marine area.