 About 10,700 results  books.google.com As a consequence of Theorem 9.1, every uniquely kcolorable graph, k ≥ 2, is
connected. In fact, Gary Chartrand and Dennis Paul Geller [35] showed that more
can be said. Theorem 9.2 Every uniquely kcolorable graph is (k − 1)connected. 

 books.google.com kchoosable graph: Lcolorable for every kassignment L. fchoosable graph G for
a function f : V G N: Lcolorable for every list assignment L with [L1,[I f(v) for all v G
V. chordal graph: a graph in which every circuit of length 2 4 has a chord (i.e., ... 

 books.google.com We study the maximization version of the fundamental graph coloring problem.
Here the goal is to color the vertices of a kcolorable graph with k colors so that a
maximum fraction of edges are properly colored (i.e. their endpoints receive ... 

 books.google.com A graph is kcolorable if there is a coloring of G using k colors. The chromatic
number of G is the minimum k for which G is kcolorable. The procedure [B72] of
node coloring is done by a simple implicit enumeration tree search method.
Initially ... 

 books.google.com 24th Annual Symposium on Theoretical Aspects of Computer Science, Aachen,
Germany, February 2224, 2007, Proceedings Wolfgang Thomas, Pascal Weil.
Why Almost All kColorable Graphs Are Easy Amin CojaOghlan1, Michael ... 

 books.google.com The chromatic number of a graph G is therefore the minimum number of
independent sets into which V (G) can be partitioned. A graph G with chromatic
number k is a kchromatic graph. Therefore, if χ(G) = k, then there exists a k
coloring of G ... 

 books.google.com Akcoloringf is proper if x ↔y implies f(x) =f(y). A graph G is kcolorable if it has a
proper kcoloring. The chromatic number χ(G) is the minimum k such that G is k
colorable. A graph G is kchromatic if χ(G)=k. Suppose that χ(G)=k but χ(H)<k for ... 

 books.google.com Given a graph G and a positive integer k, a kcoloring is a function K : V(G) → {1,..
.,k} from the vertex set into the set of positive integers less than or equal to k. If we
think of the latter set as a set of k “colors,” then K is an assignment of one color ... 

 books.google.com STRONG CHROMATIC NUMBER If the number [V(G)] of vertices of G is divisible
by the number k 2 1, then G is said to be strongly kcolorable if every partition of V
(G) into sets of size k allows a proper kcoloring of G such that each set of the ... 

 books.google.com On the kcoloring of Intervals (Extended Abstract) Martin C. Carlisle Errol L. Lloyd
Department of Computer and ... 1) Given a graph G, what is the chromatic
number of G? (or, stated as a decision problem: Given k colors, is G kcolorable?)
; and ... 

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