Judul: Perception and Response of the Community Towards Pig Farming and Swine Farm Waste in Gomo District, South Nias
Abstrak: Pig is a potential livestock in Gomo District, South Nias. The existence of pig farming and its waste product of manure in the area will undoubtedly affect responses and perceptions from the community. This study aims to examine the response and perception of the community towards pig farming and pig farm waste in the Gomo District, South Nias, North Sumatra. The study employs an interview method with 100 randomly selected respondents using stratified random sampling by considering variables such as respondent profiles, responses, and perceptions toward pig farming and livestock waste. The results show that the community in Gomo District has a positive response and perception towards pig farming. However, the knowledge and awareness of the community in Gomo District regarding waste management of pig farm are still relatively low.
Keyword: perception, waste, Gomo District, pig farm, response

Judul: Farmers' Perceptions, Interests, and Implementation of Waste and Waste Management in Sheep Farming in Cisarua Village
Abstrak: Usaha peternakan yang banyak dikembangkan oleh masyarakat adalah usaha peternakan domba. Usaha peternakan domba menghasilkan limbah dan akan berdampak negatif jika tidak dimanfaatkan serta dikelola secara optimal. Persepsi dapat memengaruhi keputusan dalam melakukan pemanfaat dan pengolahan limbah. Penelitian ini bertujuan menganalisis persepsi, minat dan implementasi peternak terhadap limbah dan pengolahan. Responden penelitian ini berjumlah 42 orang dengan kriteria yang sudah ditentukan. Data yang diambil terdiri atas karakteristik persepsi, minat dan implementasi peternak. Data di analisis menggunakan analisis deskriptif dan uji rank spearman. Hasil analisis menunjukkan bahwa persepsi peternak terhadap limbah tergolong baik yang artinya peternak menganggap bahwa limbah memiliki nilai manfaat. Minat peternak terhadap pengolahan tergolong sedang. Implementasi yang dilakukan peternak dengan memanfaatkan limbah secara langsung tanpa adanya pengolahan terlebih dahulu. Persepsi peternak berhubungan dengan usia, skepemilikan ternak, akses informasi., Sheep farming was a common practice among the community. However, this activity produced waste that could have negative consequences if not utilized and managed optimally. Perception plays a significant role in influencing decisions regarding waste utilization and processing.This research aimed to analyze the perception, interest, and implementation of sheep farmers towards waste and its processing. The study involved 42 respondents who met the predetermined criteria. Data was collected on the characteristics of perception, interest, and implementation of the farmers. Data analysis was conducted using descriptive analysis and Spearman's rank test.The results indicated that the farmers had a good perception of waste, meaning they recognized its potential value. However, their interest in processing waste was only moderate. The implementation observed was that farmers directly utilized the waste without any prior processing. The study found that farmers' perception was related to their age, livestock ownership, and access to information
Keyword: domba, limbah, Minat, Persepsi

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