1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
|
<!-------- @HEADER
!
! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!
! Zoltan Toolkit for Load-balancing, Partitioning, Ordering and Coloring
! Copyright 2012 Sandia Corporation
!
! Under the terms of Contract DE-AC04-94AL85000 with Sandia Corporation,
! the U.S. Government retains certain rights in this software.
!
! Redistribution and use in source and binary forms, with or without
! modification, are permitted provided that the following conditions are
! met:
!
! 1. Redistributions of source code must retain the above copyright
! notice, this list of conditions and the following disclaimer.
!
! 2. Redistributions in binary form must reproduce the above copyright
! notice, this list of conditions and the following disclaimer in the
! documentation and/or other materials provided with the distribution.
!
! 3. Neither the name of the Corporation nor the names of the
! contributors may be used to endorse or promote products derived from
! this software without specific prior written permission.
!
! THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
! EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
! IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
! CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
! EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
! PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
! PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
! LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
! NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
! SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
!
! Questions? Contact Karen Devine kddevin@sandia.gov
! Erik Boman egboman@sandia.gov
!
! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!
! @HEADER
------->
<!doctype html public "-//w3c//dtd html 4.0 transitional//en">
<html>
<head>
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
<meta name="filename" content="Zoltan.html">
<meta name="review" content="28 May, 1999">
<meta name="subject" content="Zoltan Developer's Guide">
<meta name="sandia.approval_type" content="formal">
<meta name="sandia.approved" content="SAND2006-2955">
<meta name="sandia.create_date" content="05/28/99">
<meta name="keywords" content="Zoltan, Zoltan Developer's Guide, Zoltan dynamic load balancing library, Zoltan parallel computing">
<meta name="description" content="Zoltan: Developer's Guide for the Zoltan Library project at Sandia National Laboratories">
<meta name="GENERATOR" content="Mozilla/4.7 [en] (X11; U; SunOS 5.7 sun4u) [Netscape]">
<title>Zoltan Developer's Guide</title>
<!----CHANGE INFORMATION IN AREAS WITH THIS HEADER---->
<!----SCROLL DOWN TO FIND OTHER AREAS TO BE CHANGED---->
<!--------CHANGE THE NAME AFTER THE DASH-------->
<!--------CHANGE THE FILENAME-------->
<!--------CHANGE THE REVIEW DATE-------->
<!--------CHANGE THE SUBJECT-------->
<link rel="schema.sandia" href="http://www.sandia.gov/html_schema.htm">
<!--------CHANGE THE SAND NUMBER INFO-------->
<!--------INSERT THE DATE DOCUMENT CREATED-------->
<!--------CHANGE THE PAGE OWNER AND EMAIL ADDRESS-------->
<link rev="made" title="name of contact" >
<!--------CHANGE THE PAGE MAKER AND EMAIL ADDRESS-------->
<!--------PLACE FIVE KEY WORDS WITHIN THE QUOTES-------->
<!---------------END OF THIS CHANGE AREA--------------->
</head>
<body text="#000000">
<!-- KDD Turned off alternative link colors in template; the >
<!-- following line was part of the above body command. >
<!-- link="#003366" vlink="#cc0033" alink="#000000">
<a NAME="TOP"></a><!---TOP BANNER AREA STARTS HERE--->
<table BORDER=0 valign="top" >
<tr VALIGN=TOP>
<td VALIGN=TOP WIDTH="160" BGCOLOR="#003366">
<table BORDER=0 WIDTH="160" valign="top" >
<tr VALIGN=TOP>
<td VALIGN=TOP WIDTH="160"><!--SANDIA LOGO AT TOP LEFT-->
<a href="http://www.sandia.gov/Main.html"><img SRC="http://www.sandia.gov/images/snlstkdc.gif" ALT="[Sandia National Laboratories]" BORDER=0 valign="top" height=49 width=126></a>
<p><img ISMAP SRC="http://www.sandia.gov/images/labelNEW.gif" ALT="[navigation panel]" HSPACE=2 BORDER=0 usemap="#shortMap" height=119 width=111></td>
<td><img SRC="http://www.sandia.gov/images/1pixel.gif" BORDER=0 height=1 width=10></td>
</tr>
</table>
<table BORDER=0 WIDTH="160" valign="top" >
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 0th little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td><b><font face="Verdana, Arial, Helvetica"><a href="../Zoltan.html">Zoltan
Home Page</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 1st little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td><b><font face="Verdana, Arial, Helvetica"><a href="../ug_html/ug.html">Zoltan
User's Guide</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 2nd little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td><b><font face="Verdana, Arial, Helvetica"><a href="dev.html">Zoltan
Developer's Guide</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 2A-nd little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td><b><font face="Verdana, Arial, Helvetica"><a href="../Zoltan_FAQ.html">
Frequently Asked Questions</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 3rd little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td COLSPAN="2"><b><font face="Verdana, Arial, Helvetica"><a href="../Zoltan_phil.html">Zoltan
Project Description</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 4th little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td COLSPAN="2"><b><font face="Verdana, Arial, Helvetica"><a href="../Zoltan_pubs.html">Papers
and Presentations</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 4Ath little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td COLSPAN="2"><b><font face="Verdana, Arial, Helvetica"><a href="../Zoltan_cite.html">How to Cite Zoltan</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 5th little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td COLSPAN="2"><b><font face="Verdana, Arial, Helvetica"><a href="http://www.cs.sandia.gov/~web1400/1400_download.html">Download
Zoltan</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 6th little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td COLSPAN="2"><b><font face="Verdana, Arial, Helvetica"><a href="../Zoltan_bugreport.html">Report a Zoltan Bug</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 7th little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td COLSPAN="2"><b><font face="Verdana, Arial, Helvetica">
<a href="mailto: zoltan-dev@software.sandia.gov">Contact Zoltan Developers</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
<tr ALIGN=LEFT VALIGN=TOP>
<td VALIGN=TOP WIDTH="150"><!----------- 8th little turquoise bevel button ------------>
<table BORDER=0 CELLSPACING=0 CELLPADDING=0 WIDTH="150" BGCOLOR="#00CCFF" >
<tr ALIGN=CENTER VALIGN=CENTER>
<td COLSPAN="2"><b><font face="Verdana, Arial, Helvetica">
<a href="http://www.sandia.gov/general/privacy-security/index.html">Sandia Privacy and Security Notice</a></font></b></td>
</tr>
</table>
</td>
<td VALIGN=TOP WIDTH="20"></td>
</tr>
<tr VALIGN=TOP>
<td COLSPAN="2"></td>
</tr>
<!-------------------------------------------------------------------------->
</table>
</td>
<td VALIGN=TOP>
<!--MAIN CONTENT AREA STARTS HERE-->
<!----------------THIS IS A CHANGE AREA---------------->
<!------HEADER TEXT SHOULD BE REPLACE THIS TEXT------>
<b><font face="Verdana, Arial, Helvetica"><font size=+2>
Zoltan:
</font></font></b>
<br>
<b><font face="Verdana, Arial, Helvetica"><font size=+2>
Parallel Partitioning, Load Balancing and
Data-Management Services
</font></font></b>
<p>
<!---------------END OF THIS CHANGE AREA--------------->
<!----------------THIS IS A CHANGE AREA---------------->
<!--MAIN CONTENT SHOULD BE PLACED IN THE AREA BELOW-->
<!------------------------------------------------------------------------->
<!------------------------------------------------------------------------->
<!------------------------------------------------------------------------->
<p><b><font face="Verdana, Arial, Helvetica"><font size=+2>Developer's
Guide </font></font></b>
<p>
<hr WIDTH="100%">
<p>
<hr WIDTH="100%">
<p>
<h3><b> The Zoltan Team </b></h3>
<table width="100%">
<tr>
<td width="50%" valign=top>
<b> Sandia National Laboratories</b><br>
<a href="http://www.sandia.gov/~egboman">Erik Boman</a> <br>
Cedric Chevalier<br>
<a href="http://www.cs.sandia.gov/~kddevin">Karen Devine</a><br>
Vitus Leung<br>
Lee Ann Riesen<br>
</td>
<td width="50%" valign=top>
<b> Ohio State University</b><br>
<a href="http://bmi.osu.edu/~umit/">Umit Catalyurek</a><br>
<a href="http://www.ece.osu.edu/~bozdagd">Doruk Bozdag</a><br>
</td>
</tr>
</table>
<br>
<h3><b> Past Zoltan Contributors</b></h3>
<table width="100%"
<tr>
<td width="50%" valign=top>
<b> Sandia National Laboratories: </b><br>
Robert Heaphy<br>
<a href="http://www.cs.sandia.gov/~bahendr">Bruce Hendrickson</a></b><br>
Matthew St. John<br>
Courtenay Vaughan<br>
<br>
</td>
<td width="50%" valign=top>
<b> Williams College</b><br>
<a href="http://www.teresco.org/~terescoj/">James Teresco</a><br>
</td>
</tr>
<tr>
<td width="50%" valign=top>
<b> National Institute of Standards and Technology</b><br>
<a href="http://math.nist.gov/~mitchell">William F. Mitchell</a><br>
</td>
<td width="50%" valign=top>
<b> Rensselaer Polytechnic Institute</b><br>
Jamal Faik<br>
Luis Gervasio<br>
</td>
</tr>
</table>
<p>
<p>
<hr WIDTH="100%">
<div ALIGN=right>
<b><i>Zoltan Developer's Guide, Version 3.2</b></i></div>
<p>
<h4>
<table border="1"> <tr> <td>
<a href="http://www.cs.sandia.gov/~kddevin/Zoltan_pdf/dev.pdf">DOWNLOAD PDF VERSION HERE.</a>
</td> </tr> </table>
<p>
<h4>
<a href="dev_intro.html">Introduction and General Principles</a></h4>
<blockquote><a href="dev_intro_philosophy.html">Philosophy of Zoltan</a>
<br><a href="dev_intro_coding.html">Coding Principles in Zoltan</a>
<ol TYPE=A><a href="dev_intro_coding.html#include">Include files</a>
<br><a href="dev_intro_coding.html#global">Global Variables</a>
<br><a href="dev_intro_coding.html#functions">Function Names</a>
<br><a href="dev_intro_coding.html#par_comm">Parallel Communication</a>
<br><a href="dev_intro_coding.html#memory1">Memory Management</a>
<br><a href="dev_intro_coding.html#return">Errors, Warnings and Return Codes</a>
</ol>
<a href="dev_intro_sqe.html">Zoltan Quality Assurance</a>
</blockquote>
<h4>
<a href="dev_dist.html">Zoltan Distribution</a></h4>
<ol TYPE=1><a href="dev_dist_cvs.html">CVS</a>
<br><a href="dev_dist_dir.html">Layout of Directories</a>
<br><a href="dev_dist_compile.html">Compilation and Makefiles</a></ol>
<h4>
<a href="dev_lb.html">Zoltan Interface and Data Structures</a></h4>
<ol TYPE=1><a href="dev_lb_interface.html">Interface Functions</a>
<br><a href="dev_lb_types.html">ID Data Types</a>
<br><a href="dev_lb_structs.html">Data Structures</a></ol>
<h4>
<a href="dev_services.html">Services (to simplify new algorithm development)</a></h4>
<ol TYPE=1><a href="dev_services_params.html">Parameter Setting Routines</a>
<br><a href="dev_services_parallel.html">Parallel Computing Routines</a>
<br><a href="dev_services_objlist.html">Common Functions for Querying Applications</a>
<br><a href="dev_services_hash.html">Hash Function</a>
<br><a href="dev_services_time.html">Timing Routines</a>
<br><a href="dev_services_zoltantimer.html">High-Level Timing Services: ZOLTAN_TIMER</a>
<br><a href="dev_services_debug.html">Debugging Services</a></ol>
<h4>
<a href="dev_add.html">Adding New Load-Balancing Algorithms to Zoltan</a></h4>
<ol TYPE=1><a href="dev_add_interface.html">Load-Balancing Interface Routines</a>
<br><a href="dev_add_lb.html">Load-Balancing Function Implementation</a>
<br><a href="dev_add_struct.html">Data Structures</a>
<br><a href="dev_add_memory.html">Memory Management</a>
<br><a href="dev_add_params.html">Parameters</a>
<br><a href="dev_add_remap.html">Part Remapping</a>
</ol>
<h4>
<a href="dev_mig.html">Migration Tools</a></h4>
<h4>
<a href="dev_fortran.html">FORTRAN Interface</a></h4>
<h4>
<a href="dev_cpp.html">C++ Interface</a></h4>
<h4>
<a href="dev_refs.html">References</a></h4>
<h4>
<a href="dev_driver.html">Appendix: Using the Test Drivers <i>zdrive</i>, <i>zCPPdrive</i> and <i>zfdrive</i></a></h4>
<ul><a href="dev_driver.html#Introduction">Introduction</a>
<br><a href="dev_driver.html#running zdrive">Running the Test Drivers</a>
<br><a href="dev_driver.html#adding algorithms">Adding New Algorithms</a></ul>
<h4>
<a href="dev_view.html">Appendix: Visualization of Geometric Partitions</a></h4>
<ul><a href="dev_view.html#Vis_2D">2D problems with <I>gnuplot</I></a>
<br><a href="dev_view.html#Vis_3D">3D problems with <I>vtk_view</I></a>
<br><a href="dev_view.html#Vis_offscreen">Off-screen rendering with <I>vtk_write</I></a>
<br><a href="dev_view.html#Vis_other">Other file formats</a>
</ul>
<h4>
<a href="dev_test_script.html">Appendix: Using the Test Script <i>test_zoltan</i></a></h4>
<h4>
<a href="dev_rcb.html">Appendix: Recursive Coordinate Bisection (RCB)</a></h4>
<h4>
<a href="dev_rib.html">Appendix: Recursive Inertial Bisection (RIB)</a></h4>
<h4>
<a href="dev_parmetis.html">Appendix: Graph Partitioning (ParMETIS and Jostle) </a></h4>
<h4>
<a href="dev_phg.html">Appendix: Hypergraph Partitioning (PHG) </a></h4>
<h4>
<a href="dev_reftree.html">Appendix: Refinement Tree </a></h4>
<h4>
<a href="dev_hsfc.html">Appendix: Hilbert Space_Filling Curve (HSFC)</a></h4>
<h4>
<a href="dev_degenerate.html">Appendix: Handling Degenerate Geometries</a></h4>
<hr WIDTH="100%">
Copyright (c) 2000-2007, Sandia National Laboratories. <br>
<hr WIDTH="100%">
<br>[<a href="../Zoltan.html">Zoltan Home Page</a> | <a href="dev_intro.html">Next:
Introduction and General Principles</a>] <!---------MAIN CONTENT AREA ENDS HERE---------><!-- CHANGE CONTACT + E-MAIL, NOTE "SUBJECT" IN E-MAIL CODE --></td>
</tr>
</table>
<!<hr width="100%">
<!--Image maps below-->
<map name="shortMap">
<area shape="rect" coords="2,2,108,14"href="http://www.sandia.gov/about/index.html"></area>
<area shape="rect" coords="2,19,108,31"href="http://www.sandia.gov/mission/ste/index.html"></area>
<area shape="rect" coords="2,36,108,48"href="http://www.sandia.gov/mission/index.html"></area>
<area shape="rect" coords="2,53,108,65"href="http://www.sandia.gov/contact-us/index.html"></area>
<area shape="rect" coords="2,70,108,82"href="http://www.sandia.gov/news/index.html"></area>
<area shape="rect" coords="2,87,108,99"href="http://www.sandia.gov/search/index.html"></area>
<area shape="rect" coords="2,104,108,116"href="http://www.sandia.gov/Main.html"></area>
</map>
<!----------------THIS IS A CHANGE AREA---------------->
<!----NAME AND DATE OF LAST REVISION SHOULD BE HERE---->
<!---------------END OF THIS CHANGE AREA--------------->
</body>
</html>
|
