[5][6][7] Several Indian paramilitary and police officers have described the Greyhounds as among the best anti-insurgency forces that specialises in anti-Maoist operations and as experts in jungle warfare.

[8] Greyhounds was initiated in early 1989 by the TDP government after some Maoists killed several top landlords in Prakasam District, and its training program was introduced by the Indian Police Service officer K. S.

[9] Directly as a consequence of founding the unit, Vyas became the top target on the Communist Party of India (Marxist–Leninist) People's War's hit list.

[10] Vyas was assassinated at gun point by Mohammed Nayeemuddin, and four other members of the CPI (M–L) People's War, on 27 January 1993 while taking an evening jog at Lal Bahadur Shastri Stadium in Hyderabad.

[1] Andhra Pradesh had been a long-time Maoist militant hotbed but the presence of Greyhounds, supported by paid informers at the village level, managed to arrest or kill several top leaders.

Local police are often included in Greyhounds operations but they typically play a minimal role and primarily serve as translators or help in navigation.

[18][19] The assailants, located on the surrounding hills, attacked the boat while it was passing through a narrow passage of the Balimela Reservoir with light machine guns, self-loading rifles, grenades, and automatic weapons such as AK-47s and AK-56s.

Vyas, IPS officer Umesh Chandra and the attempted murder of Chief Minister N. Chandrababu Naidu at Tirupati in 2003, was killed during a combing operation by Andhra Police in May 2009.

[23] Police had received specific intelligence regarding the location of Maoists in the Lavella forest area in Tadwai mandal of Warangal district.

The Ministry appointed Greyhounds as the lead anti-Maoist force in all extremist affected areas and authorized the unit to freely operate in Chhattisgarh and Odisha.

[30] Gemmeli Narayan Rao alias Jambri, the DCM of the Galikonda area committee was killed in an encounter with Greyhounds in Annavaram on 24 February 2017.

[31] Greyhounds, and special police personnel from Odisha, Chhattisgarh and Maharashtra, conducted combing operations in the Pujari Kanker area near the Telangana-Chhattisgarh border in March 2018.

[33] The CPI (M) denied that Haribhushan alias Jagan had been killed and issued a press release and an audio recording vowing revenge to support their claim.

[36] Combing operations were increased in the Andhra-Odisha border region during 21–28 September 2019 when the CPI (M) celebrates its Formation Day in the red corridor.

In June 2020, Visakhapatnam Police Superintendent, Attada Babujee, stated that security forces had pushed Maoists into a 1,500 sq km area of the Andhra-Odisha border and cut off top leadership from mid-levels and cadres.

Ranadev's death was a major setback for the CPI (M) as he had been a party member for over 20 years and was described as "among the few committed Maoist leaders left in the region".