Zobrazeno 1 - 10
of 24
pro vyhledávání: '"Denise Sakai Troxell"'
Publikováno v:
Discrete Applied Mathematics. 285:380-396
In a zero forcing process, an initial vertex coloring of a graph is updated iteratively according to the following conversion rule: an uncolored vertex becomes colored if it is the only uncolored neighbor of some colored vertex. In this process, a ze
Autor:
Matthew Beaudouin-Lafon, Nathaniel J. Karst, Serena Chen, Margaret Crawford, Louise Nielsen, Denise Sakai Troxell
Publikováno v:
Discrete Applied Mathematics. 282:35-47
In a zero forcing process, an initial vertex coloring of a graph is updated iteratively according to the following conversion rule: an uncolored vertex becomes colored if it is the only uncolored neighbor of some colored vertex. In this process, a ze
Publikováno v:
Involve 12, no. 5 (2019), 871-882
A simple graph [math] is a pairwise compatibility graph (PCG) if there exists an edge-weighted tree [math] with positive weights and nonnegative numbers [math] and [math] such that the leaves of [math] are exactly the vertices of [math] , and [math]
Autor:
Matthew Beaudouin-Lafon, Jessica Oehrlein, Denise Sakai Troxell, Serena Chen, Nathaniel J. Karst
Publikováno v:
Involve 11, no. 1 (2018), 67-80
An L(2,1)-labeling of a graph is an assignment of nonnegative integers to its vertices such that adjacent vertices are assigned labels at least two apart, and vertices at distance two are assigned labels at least one apart. The [math] -number of a gr
Publikováno v:
Involve 8, no. 3 (2015), 535-540
An [math] -labeling of a graph [math] is a function assigning a nonnegative integer to each vertex such that adjacent vertices are labeled with integers differing by at least 2 and vertices at distance two are labeled with integers differing by at le
Publikováno v:
Discrete Applied Mathematics. 181:139-151
Given a positive integer d , an L ( d , 1 ) -labeling of a graph G is an assignment of nonnegative integers to its vertices such that adjacent vertices must receive integers at least d apart, and vertices at distance two must receive integers at leas
Publikováno v:
Discrete Applied Mathematics. 178:101-108
The spectrum allocation problem in wireless communications can be modeled through vertex labelings of a graph, wherein each vertex represents a transmitter and edges connect vertices whose corresponding transmitters are operating in close proximity.
Publikováno v:
Journal of Combinatorial Optimization. 30:34-41
For an integer $$d \ge 2$$d?2, an $$L(d$$L(d,1)-labeling of a graph $$G$$G is a function $$f$$f from its vertex set to the non-negative integers such that $${\vert }f(x) - f(y){\vert } \ge d$$|f(x)?f(y)|?d if vertices $$x$$x and $$y$$y are adjacent,
Publikováno v:
Discrete Applied Mathematics. 161:881-888
The problem of assigning frequencies to transmitters in a radio network can be modeled through vertex labelings of a graph, wherein each vertex represents a transmitter and edges connect vertices whose corresponding transmitters are operating in clos
Publikováno v:
Applied Mathematics Letters. 24:950-957
An L ( 2 , 1 ) -labeling of a graph G is a function f : V ( G ) → { 0 , 1 , … , k } such that | f ( x ) − f ( y ) | ≥ 2 if x and y are adjacent vertices, and | f ( x ) − f ( y ) | ≥ 1 if x and y are at distance 2. Such labelings were intr