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of 11
pro vyhledávání: '"Kathryn Fraughnaugh"'
Publikováno v:
Electronic Notes in Discrete Mathematics. 11:751-759
Let γ (G) be the domination number of a graph G. We show that if G has maximum degree at most 3 and girth at least 5, then γ(G) ≤ 1 7 (4n − e + p + 3i) where G has n nodes, e edges, p pendant nodes, and i isolated nodes. It follows that if G is
Publikováno v:
Annals of Operations Research. 78:189-200
The classification problem is to determine the class of an object when it is costly to observe the values of its attributes. This type of problem arises in fault diagnosis, in the desig- of interactive expert systems, in reliability analysis of coher
Publikováno v:
Journal of Combinatorial Theory, Series B. 71(1):73-78
LetGbe a graph withnnodes,eedges, chromatic numberχ, and girthg. In an acyclic orientation ofG, an arc isdependentif its reversal creates a cycle. It is well known that ifχ
Autor:
Kathryn Fraughnaugh, Stephen C. Locke
Publikováno v:
SIAM Journal on Discrete Mathematics. 9:674-681
Finding a maximum independent set in a graph is well known to be an $NP$-complete problem. Here an $O(n^2)$-time algorithm that finds an independent set of order at least $(6n-m)/13$ in a triangle-free graph with $n$ vertices and $m$ edges is present
Publikováno v:
Discrete Mathematics. 138:93-99
A triangle-free graph is maximal if the addition of any edge creates a triangle. For n ⩾ 5, we show there is an n -node m -edge maximal triangle-free graph if and only if it is complete bipartite or 2 n − 5 ⩽ m ⩽⌊( n − 1) 2 /4⌋ + 1. A d
Publikováno v:
Annals of Operations Research. 41:299-312
We describe an implementation of tabu search that solves the path assignment problem, which is the problem of routing video data through an undercapacitated telecommunications network. Two versions of the tabu search were studied. Our results compare
Autor:
Kathryn Fraughnaugh
Publikováno v:
Networks. 30:73-73
Autor:
Jones, Kathryn Fraughnaugh
Publikováno v:
Journal of Graph Theory; 1990, Vol. 14 Issue 5, p525-535, 11p
Autor:
Karen Casey, Kathryn Fraughnaugh
Publikováno v:
Linear Algebra and its Applications. :53-66
The conditional chromatic numberx(G, P) of a graph G with respect to a graphical property P is the minimum number of colors needed to color the nodes of G such that each color class induces a subgraph of G with property P. The conditional chromatic n
Autor:
Jones, Kathryn Fraughnaugh
Publikováno v:
In Journal of Combinatorial Theory, Series B 1984 37(3):254-269