i-burning number of graphs and the seed burning number

Graph burning process and its corresponding parameter, called burning number, can be seen as a model for the spread of social contagion and a measure for its speed, respectively. here we define a slightly different graph process with its corresponding parameter that are called i-graph burning and i-burning number, respectively. based on the relationbetween the burning number and the i-burning numbers, we define the seed burning number of a graph and find its value for some families of graphs.