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The p-Domination Number of Complete Multipartite Graphs
p-domination set p-domination number complete multipartite graph
2012/5/9
Let $G=(V,E)$ be a graph and $p$ a positive integer. A subset $S\subseteq V$ is called a $p$-dominating set of $G$ if every vertex not in $S$ has at least $p$ neighbors in $S$. The $p$-domination numb...
Local unitary equivalence and distinguishability of arbitrary multipartite pure states
Local unitary equivalence distinguishability of arbitrary multipartite pure states
2010/12/15
Entanglement in multipartite quantum systems, due to its importance in quantum information theory, became a topic of numerous investigations (see [1] for a recent comprehensive
review of various aspe...
Fault tolerant routings in complete multipartite graph
leveled fault tolerant routing multipartite graph
2010/9/14
The f-tolerant arc-forwarding index for a class of complete multipartite graphs are determined by constructing relevant fault tolerant routings. Furthermore, these routings are leveled for Cocktail-pa...
Cycles Containing a Given Arc in Regular Multipartite Tournaments
multitepartite tournaments cycle
2007/12/11
In this paper we prove that if T is a regular n-partite tournament with n≥6, then each arc of T lies on a k-cycle for k=4,5,...,n. Our result generalizes theorems due to Alspach[1] and Guo~[3] respect...