On Star-Multi-interval Pairwise Compatibility Graphs
نویسندگان
چکیده
A graph G is a star-k-PCG if there exists non-negative edge weighted star tree S and k mutually exclusive intervals $$I_1, I_2, \ldots , I_k$$ of reals such that each vertex corresponds to leaf an between two vertices in the distance their corresponding leaves lies $$I_1\cup I_2\cup \cup . These graphs are related different well-studied classes as PCGs multithreshold graphs. It well known for any star-k-PCG. Thus, given it interesting know which minimum In this paper, we focus on where constant prove circular dimensional grid both star-2-PCGs they not star-1-PCGs. Moreover show 4-dimensional grids star-2-PCG.
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ژورنال
عنوان ژورنال: Lecture Notes in Computer Science
سال: 2023
ISSN: ['1611-3349', '0302-9743']
DOI: https://doi.org/10.1007/978-3-031-27051-2_23