Judul: Produktivitas, Potensi dan Prospek Pengembangan Sapi Bali (Bos javanicus) di Desa Pa’rappunganta Kabupaten Takalar Sulawesi Selatan
Abstrak: Bali cattle is one of Indonesia indigenous cattle with high adaptivity of environment and feed. The aims of this study was to determine the productivity, potency, and development prospect of bali cattle in Pa'rappunganta village. This research was conducted from July to August 2011 in Pa’rappunganta village, Takalar region, South Sulawesi. Primary data was obtained through interviewed of 42 farmers. Secondary data was obtained from the village government and related agencies. Data of village profile, farming management and resources were analyzed descriptively. This study also analyzed reproductive characteristic, SWOT (strengths, weaknesses, opportunities and threats) and Increasement Population Capacity of Ruminant (IPCR). The results showed that the age of first oestrus in female bali cattle average was 2,1 years and age of first mating was 2,2 years. Service per conception (S/C) was on average 1,9 times and calving rate mean was 98,1%. Oestrus postpartum of bali cattle in this study was an average of 81.95 days, calving interval was 370±36 days and calf mortality was 5,8%. Result of IPCR analysis showed that capacity of ruminant increase was 137,97 Animal Unit. The result indicated that bali cattle still potential to be developed in Pa’rappunganta village. Result of SWOT analyzed and IPCR showed that bali cattle had a good prospect to be developed in Pa’rappunganta village.
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Judul: New Initiative to Build a Breeding Business of Bali Cattle Based on Community in Field Station of Sekolah Peternakan Rakyat (SL-SPR)
Abstrak: The government has launched a meat self-sufficiency program to meet meat needs since 2005. The main target was to increase the population of cattle in smallholder farmers. The problem is that there are no records and data on smallholder farmers so that it is difficult to increase the population of cattle. The purpose of this study was to (1) produce baseline data on the productive and reproductive performance of Bali cattle and their supporting factors which are used as the basis for starting recording at SL-SPR Maju Bersama (2) to analyze the carrying capacity with feed production and the carrying capacity index of forage land (3) to analyze the projection of Bali cattle population in the next 10 years so that it can be used as basic data to start a breeding business. The research was conducted at SL-SPR Maju Bersama, Sungai Lilin District, Musi Banyuasin Regency in October-December 2019. The material used in this study was the all population of bali cattle, totaling 330 head of the dam belonging to 219 farmers in SL-SPR Maju Bersama, Sungai Lilin District. This study was used survey methods and direct observation of the research object. The parameters analyzed were the potential of bali cattle, reproductive performance, the potential of feed resources and carrying capacity as well as the projection of the bali cattle population for the next 10 years based on 3 simulations, constant, improvement through the SPR program, and intervention of SPR with the government. Data were analyzed using descriptive analysis by presenting the test results in tabular form as well as the non-parametric Kruskal Wallis test to analyze the influence of factors that affect the reproductive performance of the dam. The projection of bali cattle population was calculated by the Microsoft Excel program. The results showed that the population of bali cattle in SL-SPR Maju Bersama was 1 277 heads. The dam as much as 72.7% came from non-groups, while the others were born and came from in the SPR group; 87.9% owned by themselves, while the others were profit sharing; 70% maintained intensively while the others maintained by semi-intensively and extensively; 58% mated by AI, while the others by natural; 24.5% were in the age range of 3-4 years and 43.0% had a BCS value of 3. The reproductive performance was obtained, age first calving 1 098 ± 12 days; calving interval 455.4 ± 8.33 days; days open 169.4 ± 8.33 and service per conception 5.37 ± 0.42. The origin and age of the dam had a significant effect on calving interval, days open and service per conception (P <0.05). Ownership status had a significant effect (P <0.05) on the age first calving. The total production of feed obtained from forages and agricultural crop residues as much as 15 646.92 tonnes of DM per year with a capacity of 6 259 AU and a capacity to increase the population of ruminants by 5 063 AU. The projection of the bali cattle population for the next 10 years with constant projections, projections with the SPR program and projections of SPR intervention with
Keyword: Bali cattle, Sekolah Peternakan Rakyat, reproductive performance

Judul: Cycle Hamilton pada Graf Lengkap, Graf Regular, dan Graf 2-Connected 4-Regular Berorder Kurang dari Sepuluh
Abstrak: Suatu graf disebut graf Hamilton apabila graf tersebut memuat cycle Hamilton, yaitu cycle yang melewati setiap vertex tepat satu kali. Menentukan keberadaan cycle Hamilton pada suatu graf dapat menggunakan syarat cukup yang berupa teorema-teorema yang telah diperkenalkan sejak tahun 1950-an. Beberapa syarat cukup yang dibahas dalam karya ilmiah ini adalah syarat cukup yang berhubungan dengan graf lengkap dan graf regular. Suatu graf lengkap berorder 𝑛������ ≥ 3 dan graf r-regular berorder 𝑛������ ≤ 2𝑟������ + 1 merupakan graf Hamilton, Karena kedua graf tersebut memuat cycle Hamilton. Selanjutnya, syarat cukup tersebut digunakan untuk menentukan keberadaan cycle Hamilton pada graf 2-connected 4- regular berorder kurang dari 10.
Keyword: graf Hamilton, graf regular, graf lengkap, graf 2-connected 4-regular