Through the last years, different strategies to enhance synchronization in complex networks have been proposed. In this Letter, we show that the synchronization in a small-world network of attractively coupled non-identical neurons is strongly improved by adding a tiny fraction of phase-repulsive couplings. By a purely topological analysis that does not depend on the dynamical model, we link the emerging dynamical behavior to the structural properties of the sparsely coupled repulsive network. PACS numbers: 87.19.La, 05.45.Xt Synchronous oscillations in a large ensemble of oscillators are considered as one of the mechanisms in biological networks to transmit and code information, especially in the brain [1]. Recent experiments have pointed out the important role that the complex structure of connectivity has in this collective behavior [2], obtaining the signature of an underlying small-world (SW) network by indirect measures in neuronal culture samples [3] or using functional magnetic resonance imaging in humans [4]. Theoretically, several strategies have been developed with the aim of finding the best way to achieve synchronization in complex networks [5,6,7]. These approaches have mainly focused on the role that weighted links play in heterogeneous networks [8,9,10], shortest paths between nodes and clustering structure in SW networks [11], or the input degree each node receives regardless of the net structure [12].Most of this research has been devoted to attractively coupled dynamical elements. However, it is known that biological networks combine different types of connections to improve synchronization and transmission performance, as in the case of the coexistence of excitatory and inhibitory synapses in the brain [13]. Nevertheless, little attention has been paid to the effect of repulsive coupling, or to the interaction between different types of coupling. The scarce literature addressing synchronization in repulsively coupled oscillators considers global or local coupling [14,15], but the influence of the network structure is still an open question.In addition, almost all the published work on synchronization in complex networks basically deals with arrays of identical units. However, heterogeneity of elements is an inherent feature present in natural systems which can be especially relevant in the dynamics of biological networks [16]. In this Letter, we explore the influence of the network topology on the dynamics of non-identical coupled units, when a small fraction of the links is phase-repulsive. We show that sparse repulsive links in a SW structure can induce a coherent oscillatory state when the equivalent SW composed of only attractive connections is not able to synchronize or even to activate the ensemble. Then, just by means of an analysis focused on the connectivity matrix, we link the emerging dynamical behavior to the structural properties of the sparsely coupled repulsive network.We study the dynamics of an ensemble of non-identical locally coupled Hodgkin-Huxley (HH) neurons [17] cons...