The effects of substrate on electronic and optical properties of triangular and hexagonal graphene nanoflakes with armchair edges are investigated by using a configuration interaction approach beyond double excitation scheme. The quasiparticle correction to the energy gap and exciton binding energy are found to be dominated by the long-range Coulomb interactions and exhibit similar dependence on the dielectric constant of the substrate, which leads to a cancellation of their contributions to the optical gap. As a result, the optical gaps are shown to be insensitive to the dielectric environment and unexpectedly close to the single-particle gaps. PACS numbers: 78.67. Wj, 73.22.Pr,Graphene, an artificial material discovered recently [1], is a promising candidate in future microelectronic devices due to its extraordinary electronic [2] and optical properties [3]. Recently, many theoretical interests have been attracted to the study of substrate influence on the electronic structure, thermal conductivity and growth mechanisms in bulk graphene [4,5] and graphene nanoribbons [6,7]. Experimentally, the effect of semi-insulating and metal substrates has been investigated by using ultraviolet and far-infrared photoelectron spectroscopy [8,9].Although bulk graphene has almost zero band-gap, a finite gap can be opened and even engineered by quantum confinement effect in graphene nanoribbons and nanoflakes [10]. Electron-electron interactions would further modify this quasiparticle gap into the optical gap, which is commonly known as the excitonic effect [11][12][13][14]. Many-body perturbation theory and configuration interaction method have been applied to calculate exciton binding energies in quasi-one-dimensional graphene nanoribbons [15,16], and excitonic absorption in triangular graphene quantum dots with zigzag edges [17,18]. Undoubtedly, the study of quasiparticle and excitonic effects in these structures requires a proper treatment of the dielectric screening effect [19] At present, however, there have been very few attempts to investigate substrate effects on electronic structure and optical properties in graphene nanoflakes. In this letter, we will explore how various substrates affects quasiparticle self-energies, exciton binding energies and optical gaps in graphene nanoflakes. An interesting question that how sensitive the optical transitions are to the dielectric environment in nanographene structures, which is believed to have both fundamental and practical importance, will be answered.We consider two types of armchair graphene nanoflakes placed on various substrates such as SiO 2 , diamond, and SiC. Figure 1 gives a schematic view of our first model system, a triangular graphene nanoflake. The number of carbon rings along each edge is set to be N = 4, which corresponds to a total number of atoms n = 60. The single-particle states are obtained by the use of the tight-binding model with the nearest-neighbor hopping. The matrix element of the single-particle Hamiltonian for electron p is given by i|Ĥ(p)|j = t...