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Optimistic chordal coloring: a coalescing heuristic for SSA form programs

by Philip Brisk, Ajay K. Verma, Paolo Ienne
"... Abstract The interference graph for a procedure in Static Single Assignment (SSA) Form is chordal. Since the k-colorability problem can be solved in polynomial-time for chordal graphs, this result has generated interest in SSA-based heuristics for spilling and coalescing. Since copies can be folded ..."
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during SSA construction, instances of the coalescing problem under SSA have fewer affinities than traditional methods. This paper presents Optimistic Chordal Coloring (OCC), a coalescing heuristic for chordal graphs. OCC was evaluated on interference graphs from embedded/multimedia benchmarks: in all

An Optimistic and Conservative Register Assignment Heuristic for Chordal Graphs

by Philip Brisk, Ajay K. Verma, Paolo Ienne , 2007
"... This paper presents a new register assignment heuristic for procedures in SSA Form, whose interference graphs are chordal; the heuristic is called optimistic chordal coloring (OCC). Previous register assignment heuristics eliminate copy instructions via coalescing, in other words, merging nodes in t ..."
Abstract - Cited by 4 (0 self) - Add to MetaCart
This paper presents a new register assignment heuristic for procedures in SSA Form, whose interference graphs are chordal; the heuristic is called optimistic chordal coloring (OCC). Previous register assignment heuristics eliminate copy instructions via coalescing, in other words, merging nodes

On Powers of Chordal Graphs And Their Colorings

by Geir Agnarsson, Raymond Greenlaw, Magnús M. Halldórsson - Congr. Numer , 2000
"... The k-th power of a graph G is a graph on the same vertex set as G, where a pair of vertices is connected by an edge if they are of distance at most k in G. We study the structure of powers of chordal graphs and the complexity of coloring them. We start by giving new and constructive proofs of t ..."
Abstract - Cited by 24 (1 self) - Add to MetaCart
The k-th power of a graph G is a graph on the same vertex set as G, where a pair of vertices is connected by an edge if they are of distance at most k in G. We study the structure of powers of chordal graphs and the complexity of coloring them. We start by giving new and constructive proofs

Coloring Powers of Chordal Graphs

by Daniel Král , 2003
"... We prove that the k-th power G of a chordal graph G with maximum degree is O( )-degenerated for even values of k and O( )-degenerated for odd ones. In particular, this bounds the chromatic number (G ). The bound proven for odd values of k is the best possible. Another consequence ..."
Abstract - Cited by 18 (6 self) - Add to MetaCart
We prove that the k-th power G of a chordal graph G with maximum degree is O( )-degenerated for even values of k and O( )-degenerated for odd ones. In particular, this bounds the chromatic number (G ). The bound proven for odd values of k is the best possible. Another consequence

Improvements to Graph Coloring Register Allocation

by Preston Briggs, Keith D. Cooper, Linda Torczon - ACM Transactions on Programming Languages and Systems , 1994
"... This paper describes both the techniques themselves and our experience building and using register allocators that incorporate them. It provides a detailed description of optimistic coloring and rematerialization. It presents experimental data to show the performance of several versions of the regis ..."
Abstract - Cited by 201 (9 self) - Add to MetaCart
This paper describes both the techniques themselves and our experience building and using register allocators that incorporate them. It provides a detailed description of optimistic coloring and rematerialization. It presents experimental data to show the performance of several versions

Graph Colorings on Chordal Graphs

by Roger Yeh
"... Since chordal graphs possess an excellent ("perfect") property on ordinary (vertex) coloring, it is interesting to see what would happen on different colorings. In this talk, we define two graph colorings (or labellings) on a simple graph G = (V; E). First, given positive integers m,n, an ..."
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Since chordal graphs possess an excellent ("perfect") property on ordinary (vertex) coloring, it is interesting to see what would happen on different colorings. In this talk, we define two graph colorings (or labellings) on a simple graph G = (V; E). First, given positive integers m

Parameterized coloring problems on chordal graphs

by Dániel Marx - Theor. Comput. Sci , 2006
"... In the precoloring extension problem (PrExt) a graph is given with some of the vertices having preassigned colors and it has to be decided whether this coloring can be extended to a proper coloring of the graph with the given number of colors. Two parameterized versions of the problem are studied in ..."
Abstract - Cited by 16 (4 self) - Add to MetaCart
in the paper: either the number of precolored vertices or the number of colors used in the precoloring is restricted to be at most k. We show that for chordal graphs these problems are polynomial-time solvable for every fixed k, but W[1]-hard if k is the parameter. For a graph class F, let F + ke (resp., F +kv

Emotion-based choice

by Barbara Mellers, Alan Schwartz, Dana Ritpv - Journal of Experimental Psychology: General , 1999
"... In this article the authors develop a descriptive theory of choice using anticipated emotions. People are assumed to anticipate how they will feel about the outcomes of decisions and use their predictions to guide choice. The authors measure the pleasure associated with monetary outcomes of gambles ..."
Abstract - Cited by 226 (7 self) - Add to MetaCart
theory and subjective expected utility theory are discussed. Emotions have powerful effects on choice. Our actual feelings of happiness, sadness, and anger both color and shape our decisions. In addition, our imagined feelings of guilt, elation, or regret influence our decisions. In this article we refer

Register Allocation via Graph Coloring

by Preston Briggs , 1992
"... Chaitin and his colleagues at IBM in Yorktown Heights built the first global register allocator based on graph coloring. This thesis describes a series of improvements and extensions to the Yorktown allocator. There are four primary results: Optimistic coloring Chaitin's coloring heuristic pes ..."
Abstract - Cited by 155 (4 self) - Add to MetaCart
Chaitin and his colleagues at IBM in Yorktown Heights built the first global register allocator based on graph coloring. This thesis describes a series of improvements and extensions to the Yorktown allocator. There are four primary results: Optimistic coloring Chaitin's coloring heuristic

Optimistic Register Coalescing

by Jinpyo Park, Soo-mook Moon - In Proceedings of the 1998 International Conference on Parallel Architecture and Compilation Techniques , 1998
"... Graph-coloring register allocators eliminate copies by coalescing the source and target node of a copy if they do not interfere in the interference graph. Coalescing is, however, known to be harmful to the colorability of the graph because it tends to yield a graph with nodes of higher degrees. Unli ..."
Abstract - Cited by 51 (1 self) - Add to MetaCart
that would turn out to be safe. Moreover, they ignore the fact that coalescing may even improve the colorability of the graph by reducing the degree of neighbor nodes that are interfering with both the source and target nodes being coalesced. This paper proposes a new heuristic called optimistic coalescing
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