While Vaishali got the better of Ukraine's Inna Gopanenko in round eight, Rout defeated Russia's Baira Kovanova.
Duda scored a dramatic win from a losing position against Kirill Shevchenko to take the top prize.
Teenaged Grandmaster D Gukesh shocked world number 5 Fabiano Caruana as India 'B' pulled off a superb 3-1 win over number 2 seeds USA in the eighth round of the Open section of the 44th Chess Olympiad in Mamallapuram, Chennai on Saturday.
Erigaisi is two points clear of Praggnanandhaa and world champion Carlsen (15 points).
With the Indian teams doing well so far, they can run into one another in the competition.
He bagged the Menorca Open crown in April, finished second in TePe Sigeman Chess Tournament in May and also finished joint-fifth in the Sharjah Masters Open tournament.
First-time challenger D. Gukesh on Tuesday insisted he is not weighed down by the favourite's tag heading into the World Championship clash against China's Ding Liren, having enjoyed a purple patch after overcoming a rough phase.
Adhiban will face the winner of the match between Vidit Santosh Gujrathi and Alexander Fier, who play the tiebreak on Saturday.
After two straight wins, India went down 1-3 to a formidable Russian team in a fourth Pool A match in the FIDE World Women's Team Chess Championship, in Sitges, Spain.
In the second round, Anand lost the first of the two-game mini-match to Rapport with black pieces. The second game ended in a draw with the Indian playing with white pieces.
Russian race walker Lashmanova banned, to be stripped of 2012 London Olympics gold
The 18-year-old also created history as he surpassed the legendary Viswanathan Anand to take the No 1 spot among Indian chess players in the live ratings.
Asked if the teenaged GM from Chennai needs to tone down on his aggression, Ramesh said, "I don't think so. That is one of his strengths. But, he must also learn every aspect of the game, not just aggression..."
10-year-old Praggnanandha is the world's youngest chess International Master. His sister Vaishali is a Woman's International Master.
Indian Grandmaster R Praggnanandhaa, ranked No. 8 in the world, will face American Sam Shankland in the sixth round of the Prague Masters.
World Champion D Gukesh has taken the joint lead at the Tata Steel Masters chess tournament after defeating his fellow Indian, P Harikrishna.
Gukesh was in control with his white pieces giving nothing away to Keymer, one of his seconds, in a Nimzo-Indian defense game.
'I am here in my apartment alone. And I don't know what is in store. The attack happened all of a sudden. So, couldn't have done anything.'
Indian Grandmasters Vidit Gujrathi, Pentala Harikrishna and teen prodigy Rameshbabu Praggnanandhaa took a big step towards a spot in the fourth round of FIDE Chess World Cup in Sochi
Sankalp Gupta becomes India's 71st GM.
Chess master-turned-cricketer Yuzvendra Chahal went back to his old passion, headlining an online blitz event organised by chess.com, and said the sport taught him to be patient on the cricket field. A former national Under-12 chess champion, India cricketer Chahal has the distinction of having represented the country at the World Youth Chess Championships, and is listed on the World Chess Federation (FIDE) website. His Elo rating is 1956.
India will be fielding three teams each in the Open and women's sections respectively.
From CEOs to RBI governors, cricket's rich imagery and strategy resonate deeply with leadership, uncertainty, and decision-making across industries and global diplomacy, points out Suveen Sinha.
16-year old Praggnanandhaa halted his three-match losing streak to shock the higher-rated Vidit Gujrathi
Meanwhile in the women's event, Padmini Rout and R Vaishali joined compatriot Bhakti Kulkarni in the second round.
Indian Grandmasters Rameshbabu Praggnanandhaa and Adhiban Baskaran registered wins in the first game of the two-game mini match in the second round of the FIDE chess World Cup in Sochi on Thursday.
Viswanathan Anand on Saturday described 17-year-old Grandmaster D Gukesh overtaking him as the highest-rated Indian player in FIDE rankings as a "historic" achievement.
Vaishali completed the requisite 2500 ELO points Llobregat Open tournament in Spain to become only the third Indian woman after Koneru Humpy and Harika Dronavalli to become a GM.
China won the top prize on the basis of having won the round-robin stage.
FIDE president Arkady Dvorkovich said the chess world was moving online which would help the sport reach its full potential.
Teen sensation R Praggnanandhaa will enter as the favourite among the three Indian participants in the Candidates chess tournament that will get underway in Toronto from Wednesday to decide the challenger for the next world championship match.
Indian chess prodigies, Gauri Shankar and Arjun Vishnuvardhan, won top spots at the U.S. Space Coast Open Chess Championships.
Parimarjan Negi was only 13, when he became the second-youngest grandmaster. With a World Chess Federation rating of 2641, he recently replaced Andhra Pradesh's Pendyala Harikrishna (25) to become the country's youngest grandmaster.
A hard-fought 99-move win on the top board against B Vignesh has put Nitin on 7 points, a full point ahead with three rounds remaining.
In the women section being held alongside, Indian women played out a hard-fought draw against experienced Georgia 1 team. All the games were drawn.
Hundreds of students from the Velammal Vidyalaya, the school where Gukesh studies, lined up at the airport at least one hour before his flight landed to greet the 17-year-old chess prodigy.
Viswanathan Anand may not quite have an heir yet among Indian chess players, but the country has youngsters with the highest aspirations.
'Today, let us reaffirm our commitment to strive to realise Gandhiji's dreams. His watchwords, truth and nonviolence, will continue to remain relevant for the whole world. He also taught us that rights and duties are but the two sides of the coin - indeed, the true source of rights is duty. Today we recall his lessons in compassion too - compassion not only for our human neighbours but also for our other neighbours, namely, flora and fauna, rivers and mountains.'
Grandmaster Koneru Humpy will spearhead the Indian challenge in the Women's candidates' chess tournament that will get underway in Toronto, Canada from Wednesday.
Indian Grandmaster Krishnan Sasikiran earned 6.5 points from 10 rounds to became the first Indian to win the 52nd Capablanca Memorial Chess tournament at Varadero, Cuba.
