Analysis of variance and yield performance of genotypes
 
The pooled mean squares for each of the nine traits under study were highly significant (P<0.01) for genotypes, indicating a substantial amount of variability in the experimental material. All through analysis of means, coefficient of variation and critical differences (CD) further revealed significant difference among the genotypes for all traits, confirming the presence of considerable genetic variability (Table 2). The box plot distribution in Fig 1 illustrates the mean performance of 142 mungbean genotypes pertaining to seed yield and its attributes. Seed yield per plant showed significant variation among genotypes, ranging from 4.21 (g) to 18.37 (g). Out of the 142 genotypes, 69 genotypes displayed seed yields above the mean (10.46 g) and highest seed yield per plant was observed in MH 1762 (18.37 g) followed by MH 1871 (17.08 g), MH 1703 (16.66 g) and IPM 604-16 (16.16 g), while the lowest yield was recorded in genotype VGG 16-036 (4.21 g). Similar reports were found in the investigations of 
Govardhan  et al. (2017); 
Muthuswamy  et al. (2019); 
Talukdar  et al. (2020); 
Afroz  et al. (2022); 
Samita  et al. (2022); 
Thonta  et al. (2023) and 
Kumar  et al. (2024). The wide spectrum of variation observed for studied traits among these genotypes provides plant breeders with ample opportunities to select superior and desired genotypes for crop improvement programmes.
 
Genetic variability parameters
 
The estimates of characteristics revealed that the phenotypic coefficients of variance (PCV) for almost all the qualitative characters was marginally higher than their corresponding genotypic coefficient of variance (GCV), indicating that the expression of the trait was significantly influenced by genetic factors rather than environmental variables (Fig 2). The genotypic coefficients of variation (GCV) and phenotypic coefficients of variation were categorized as low (<20%), moderate (20-30%) and high (>30%) as suggested by 
Sivasubramanian, J. and Menon, P.M. (1973). Among all the traits studied, seed yield per plant, number of branches per plant and plant height expressed high GCV and PCV, while moderate genotypic and phenotypic coefficient of variation were observed for 100-seed weight, number of pods per plant, number of seeds per pod and pod length. Low estimates of GCV and PCV were recorded in days to 50% flowering and days to maturity. Our findings are in accordance to the studies of 
Hemavathy  et al. (2015), 
Nalajala et al., (2022) and 
Sofia  et al. (2023).
       
According to 
Johnson  et al. (1955), heritability and the anticipated genetic advance as a percentage of the mean are directly linked to the extent of additive gene effects. Consequently, straightforward selection would prove effective for traits exhibiting high heritability and high genetic advance. High heritability (>60%) estimates were recorded for all the traits 
viz., 100-seed weight, number of branches per plant, days to 50% flowering, days to maturity, pod length, seed yield per plant, plant height, number of pods per plant and number of seeds per pod. In the present investigation, high magnitude of genetic advance as per cent mean (>20%) along with high heritability was recorded for seed yield per plant and number of branches per plant. Earlier studies of 
Nalajala  et al. (2022) for seed yield per plant while that of 
Yoseph  et al. (2022) for days to maturity and days to 50% flowering are also in agreement with the findings of the present study. The remaining traits exhibited high heritability (>60%) with moderate (10-20%) or low (<10%) genetic advance revealing control of non-additive gene action and high influence of environment on all these characters and therefore, intermating in early generations of the hybridization programme can be helpful. 
Talukdar  et al. (2020); 
Harini  et al. (2022) and 
Sofia  et al. (2023) recorded similar results for number of branches per plant and number of pods per plant.
Association among seed yield contributing traits
 
Since seed yield is complex trait influenced by many factors and have a low genetic inheritance, therefore, relying solely on heritability and genetic advance for this trait selection could lead to suboptimal choices, whereas incorporating both of these along with association of yield with other traits may offer greater benefits. So, inferential understanding of the association between yield and its related causal factors is crucial for developing effective plant selection guidelines. A thorough critical perusal of the scatter plot (Fig 3) revealed significant phenotypic correlation coefficients between the traits. In the present investigation number of seeds per pod, number of pods per plant, hundred seed weight, pod length and number of branches per plant exhibited positive significant association with seed yield per plant. Furthermore, correlation coefficients among different yield related traits were assessed in mungbean and results are presented in Table 3. Hence, opting for these traits for selection could lead to a noteworthy increase in yield. To determine yield related characters affecting seed yield directly or indirectly, analysis of path coefficient is helpful. Path coefficient usually lies between -1 and +1, where values closer to-1 represent strong negative effect and those closer to +1 indicate strong positive effect. The highest positive direct effect on seed yield per plant was exhibited by number of seeds per pod (0.4645) followed by number of pods per plant (0.3920), 100-seed weight (0.2245), days to maturity (0.0743) and plant height (0.0360), while number of branches per plant (-0.0636), pod length (-0.1114) and days to 50% flowering (-0.1886) exhibited negative direct effect on seed yield per plant (Table 4). In order to enhance the seed yield, the characters that have high direct effects on seed yield per plant are considered as the most important traits for selection. These results of correlation and path were in accordance with the findings of 
Dhunde  et al. (2021); 
Parsaniya  et al. (2022); 
Rahevar  et al. (2023); 
Aravinth  et al. (2023) and 
Srivastava  et al. (2024).
 
Cluster analysis
 
Hierarchical cluster analysis using Unweighted Pair Group Method using Arithmetic Averages (UPGMA) method was used to classify the 142 mungbean genotypes on the basis of nine yield related quantitative traits. The 142 genotypes of mungbean were grouped into eight clusters and maximum genotypes were grouped in cluster V (29) followed by cluster II (27), cluster I (22), cluster III (17), cluster VI and VII (16 each), cluster VIII (10) and cluster IV (5) (Fig 4). Cluster analysis by Abna 
et al. (2012) resulted in three major clusters in 20 greengram genotypes. Similarily, 
Gokulakrishnan  et al. (2012); 
Rahangdale  et al. (2023) and 
Chauhan  et al. (2024) also assessed genetic divergence in mungbean and reported four, seven and nine clusters, respectively.
       
Maximum intra-cluster distance was observed in cluster I while minimum was recorded in cluster IV, close relatedness among the genotypes of cluster IV. Maximum inter-cluster distance was observed between cluster II and cluster V followed by cluster I and cluster V and cluster I and cluster II whereas, minimum inter-cluster distance was recorded in cluster III and cluster VII (Table 5). This suggested that genotypes from the most distant clusters can be used as parents to obtain more heterotic combinations in hybridization programme. Similar findings were reported by 
Rahangdale  et al. (2023) and 
Chauhan  et al. (2024).
               
The cluster IV consisted of genotypes that had maximum mean values for almost all the yield contributing traits 
viz., number of branches per plant, number of pods per plant, number of seeds per pod and seed yield per plant. Cluster VI showed highest mean value for 100-seed weight whereas cluster VII exhibited highest mean value for pod length. Early flowering and maturing genotypes were observed in cluster IV, cluster VII and cluster II (Table 6). Largely, better performing genotypes with high values of seed yield and yield influencing traits from cluster IV and cluster VIII could be used in the breeding programmes to combine yield contributing traits. Genotypes MH 1468, MH 1871, MH 1762, IPM 604-16 and IPM 205-7 were found early maturing along with high mean values of yield related characters such as number of seeds per pod, number of pods per plant, 100-seed weight and seed yield per plant. These genotypes can further be used in breeding programmes for mungbean improvement.