Browsing Computer Science and Automation (CSA) by Subject "Interval Graphs"
Now showing items 1-4 of 4
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Boxicity, Cubicity And Vertex Cover
(2010-09-28)The boxicity of a graph G, denoted as box(G), is the minimum dimension d for which each vertex of G can be mapped to a d-dimensional axis-parallel box in Rd such that two boxes intersect if and only if the corresponding ... -
Generalization of Hitting, Covering and Packing Problems on Intervals
(2018-05-29)Interval graphs are well studied structures. Intervals can represent resources like jobs to be sched-uled. Finding maximum independent set in interval graphs would correspond to scheduling maximum number of non-conflicting ... -
Intersection Graphs Of Boxes And Cubes
(2011-01-25)A graph Gis said to be an intersection graph of sets from a family of sets if there exists a function ƒ : V(G)→ such that for u,v V(G), (u,v) E(G) ƒ (u) ƒ (v) ≠ . Interval graphs are thus the intersection graphs ... -
On Dimensional Parameters Of Graphs And Posets
(2013-06-21)In this thesis we study the following dimensional parameters : boxicity, cubicity, threshold dimension and poset dimension. While the first three parameters are defined on graphs, poset dimension is defined on partially ...