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We consider the problem of linear network coding over communication networks,representable by directed acyclic graphs, with multiple groupcast sessions: thenetwork comprises of multiple destination nodes, each desiring messages frommultiple sources. We adopt an interference alignment perspective, providing newinsights into designing practical network coding schemes as well as the impactof network topology on the complexity of the alignment scheme. In particular,we show that under certain (polynomial-time checkable) constraints on networkswith $K$ sources, it is possible to achieve a rate of $1/(L+d+1)$ per sourceusing linear network coding coupled with interference alignment, where eachdestination receives messages from $L$ sources ($L < K$), and $d$ is aparameter, solely dependent on the network topology, that satisfies $0 \leq d <K-L$.

Linear Network Coding for Multiple Groupcast Sessions: An Interference Alignment Approach